Signatur	Titel	Auflage	Verlag	Inhalt
SYN 11	Synergetics An Introduction. Nonequilibrium Phase Transitions and self-Organization in Physics, Chemistry and Biology. Haken, Hermann 1978	2. erweiterte Auflage	Springer	1. Goal 2. Probability 3. Information 4. Chance 5. Necessity 6. Chance and Necessity 7. Self-Organization 8. Physical Systems 9. Chemical and Biochemical Systems 10. Applications to Biology 11. Sociology: A Stochastic Model for the Formation of Public Opinion 12. Chaos 13. Some Historical Remarks and Outlook References, Further Reading and Comments
SYN 12	Synergetics A Workshop. Proceedings of the International Workshop on Synergetics at Schloss Elmau, Bavaria, May 2-7, 1977 Haken, Hermann 1977	1.Auflage	Springer	General Concepts Bifurcation Theory Instabilities in Fluid Dynamics Instabilities in Astrophysics Solitons Nonequilibrium Phase Transitions in Chemical Reactions Chemical Waves and Turbulence Morphogenesis Biological Systems General Systems
SYN 13	Synergetics Far from Equilibrium. Proceedings of the Conference Far from Equilibrium: Instabilities and Structures. Bordeaux, France, September 27-29, 1978 Pacault, Adolphe Vidal, Christian 1978	1. Auflage	Springer	Origine et perspectives des structures dissipatives Dissipative Structures in Chemical Systems - Theory and Experiment Bifurcation Diagram of Model Chemical Reactions Nonequilibrium Phase Transitions and Instability Hierarchy of the Laser, an Example from Synergetics. Mechanisms of Chemical Oscillators Chemical Oscillations During the Oxidative Bromination of Some Aromatic Compounds with Bromate Quantitative Study of a Chemical Oscillation Etude cinétique de la réaction de Bray Nonequilibrium Transitions Induced by External Noise Experimental Evidence of Noise Induced Transitions in an Open Chemical System On Measures of Stability and Relative Stability in Systems with Multiple Stationary States Stochastic Simulation of Chemical Systems Out of Equilibrium On Membrane Potentials and Their Measurements Measurement and Interpretation of Membrane Potentials Under Conditions Simulating the Ionic Environment of Biological Membranes Temporal and Special Patterns in Biochemical Systems Secondary Effects in Soret-Driven Instability Velocity Field in the Raleigh-Benard Instability: Transitions to Turbulence Scaling Theory of Instability, Nonlinear Fluctuations and Formation of Macroscopic Structure Chaos and Strange Attractors in Chemical Kinetics The Multifaceted Family of the Nonlinear: Waves and Fields, Centre Dynamics , Catastrophes, Rock Bands and Precipitation Patterns Evolution chimique loin de l'équilibre: concepts, models et réel Do Instabilities Exist in Solid -Gas Reactions? Thermal Properties of Oscillating Reactions: Two Examples Sur l'origine d'instabilités chimiques et hydrodynamiques observées a l'interface huile-eau Application en cinétique électrochimique des concepts d 'états stationnaires multiples et de structures dissipatives: électrocristallisation et passivation des métaux Conclusions and Perspectives
SYN 14	Structural Stability in Physics Proceedings of Two International Symposia on Applications of Catastrphe Theory and Topological Concepts in Physics. Tübingen, Fed. Rep. Og Germany, May 2-6 and December 11-14, 1978 Güttinger, Werner Eikemeier, Horst 1979	1. Auflage	Springer	Part I: General Concepts Part II: Topological Aspects of Wave Motion Part III: Catastrophes in Infinite Dimensions Part IV: Defects and Dislocations Part V: Statistical Mechanics and Phase Transitions Part VI: Solitons Part VII: Dynamical Systems
SYN 15	Pattern Formation by Dynamic Systems and Pattern Recogniction Proceedings of the International Symposium on Synergetics at Schloß Elmau, Bavaria, April 30 - May 5, 1979 Haken, Hermann 1979	1. Auflage	Springer	Part I: Introduction Part II: Temporal Patterns: Laser Oscillations and Other Quantum-Optical Effects Part III: Pattern Formation in Fluids Part IV: Turbulence and Chaos Part V: Pattern Recognition and Pattern Formation in Biology Part VI: Pattern Recognition and Associations Part VII: Pattern Formation in Ecology, Sociology and History Part VIII: General Approaches
SYN 16	Dynamics of Synergetic Systems Proceedings of the International Symposium on Synergetics, Bielefeld, Fed. Rep. Of Germany, September 24-29, 1979 Haken, Hermann 1980	1. Auflage	Springer	Part I: Introduction Part II: Equilibrium Phase Transitions Part III: Nonequilibrium Phase Transitions Part IV: Spatio-Temporal Organisation of Chemical Processes Part V: Turbulence and Chaos Part VI: Self-Organisation of Biological Macromolecules Part VII: Dynamics of Multi-Unit Systems Part VIII: Models of Psychological and Social Behaviour Part IX: Mathematical Concepts and Methods
SYN 17	Problems of Biological Physics Blumenfeld, Alexandrovitsch 1981	1. Auflage	Springer	Introduction The Ordering of Biological Structures Nonequilibrium Thermodynamics and Biological Physics On the Statistical Physics of Biopolymers Conformational and Configural Changes of Biopolymers The Physics of Enzyme Catalysis The Physics of Electron Transfer in Biological Systems The Physics of Intracellular Energy Transformation and Accumulation Conclusion References
SYN 18	Stochastic Nonlinear Systems in Physics, Chemistry, and Biology Proceedings of the Workshop Bielefeld, Fed. Rep. Of Germany, October 5 - 11, 1980 Arnold, Ludwig Lefever, René 1981	1. Auflage	Springer	Part I: Introduction: From Deterministic to Stochastic Behaviour Part II: Approximation of Stochastic Processes Part III: Description of Internal Fluctuations Part IV: Long-Term Behaviour of Stochastic Systems Part V: External Fluctuations and Noise Induced Transitions Part VI: Stochastic Behaviour in Model Systems Part VII: Space-Time Processes and Stochastic Partial Differential Equations Part VIII: Phase Transitions and Irreversible Thermodynamics Part IX: Markov Processes and Time Reversibility
SYN 19	Numerical Methods in the Study of Critical Phenomena Proceedings of a Colloquium, Carry-le-Rouet, France, June 2-4, 1980 Della Dora, Jean Demongeot, Jacques Lacolle, Bernard 1981	1. Auflage	Springer	Mathematical Methods Application in Physics Applications in Biology Applications in Chemistry Non-Physical Applications of Statistical Mechanics
SYN 110	The Kinetic Theory of Electromagnetic Process Klimontovich, Yuri L. 1983	1. Auflage	Springer	Introduction Part I: Classical Theory Free Charged Particles and a Field Atoms and Field The Kinetic Equations for a System of Free Charged Particles and a Field Brownian Motion Kinetic Equations for an Atom - Field System Part II: Quantum Theory Microscopic Equations The Kinetic Equations for Partially Ionized Plasma. The Coulomb Approximation Kinetic Equations for Partially Ionized Plasma. The Processes Conditioned by a Transverse Electromagnetic Field Spectral Emission Line Broadening of Atoms in Partially Ionized Plasma Fluctuations and Kinetic Processes in Systems Composed of Strongly Interacting Particles Fluctuations in Quantum Self-Oscillatory Systems Phase Transitions in a System Composed of Atoms and a Field Conclusion References
SYN 111	Chaos and Order in Nature Proceedings of the International Symposium on Synergetics at Schloß Elmau, Bavaria, April 27- May 2, 1981 Haken, Hermann 1981	1. Auflage	Springer	Part I: Introduction Part II: Fluid Dynamics. Order and Chaos in Fluid Dynamics Part III: Chaos in Fluids, Solid State Physics, and Chemical Reactions Part IV: Instabilities and Bifurcations: Theoretical Approaches Part V: Plasma Instabilities Part VI: Phase Transitions Part VII: Path Integrals: Recent Developments Part VIII: General System Approaches Part IX: Morphogenesis Part X: Once Again in Chaos: Theoretical Approaches
SYN 112	Nonlinear Phenomena in Chemical Dynamics Proceedings of an International Conference Bordeaux, France, September 7-11, 1981 Vidal, Christian Pacault, Adolphe 1981	1. Auflage	Springer	Part I: General Nonlinear Behaviour Part II: Weak Turbulence Part III: Stochastic Analysis Part IV: Critical Phenomena Part V: Coupling of Oscillators Part VI: Reaction-Diffusion Problems Part VII: Biochemical Processes Part VIII: From Bistability to Oscillations Part IX: Mathematical Modelling Part X: Poster Abstracts
SYN 113	Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences Gardiner, Crispin W. 1997	2. Auflage	Springer	A Historical Introduction Probability Concepts Markov Processes The Ito Calculus and Stochastic Differential Equations The Fokker-Planck Equation Approximation Methods for Diffusion Processes Master Equations and Jump Processes Spatially Distributed Systems Bistability, Metastability, and Escape Problems Quantum Mechanical Markov Processes References Bibliography
SYN 113a	Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences Gardiner, Crispin W. 1985	2. Auflage	Springer	A Historical Introduction Probability Concepts Markov Processes The Ito Calculus and Stochastic Differential Equations The Fokker-Planck Equation Approximation Methods for Diffusion Processes Master Equations and Jump Processes Spatially Distributed Systems Bistability, Metastability, and Escape Problems Quantum Mechanical Markov Processes References Bibliography
SYN 114	Concepts and Models of a Quantitative Sociology The Dynamics of Interacting Populations Weidlich, Wolfgang Haag, Günther 1983	1. Auflage	Springer	Introduction and Outline Opinion Formation - an Elementary Example of Semi-Quantitative Sociology Fundamental Concepts of Quantitative Sociology Migration and/or Birth-Death Processes in Populations Non-Equilibrium Theory of Investment: "The Schumpeter Clock" The Interaction of Competitive Macrosocieties References
SYN 115	Noise-Induced Transitions Theory and Applications in Physics, Chemistry, and Biology Horsthemke, Werner Lefever, René 1984	1. Auflage	Springer	Introduction Elements of Probability Theory Stochastic Models of Environmental Fluctuations Markovian Diffusion Processes Stochastic Differential Equations Noise-Induced Nonequilibrium Phase Transitions Noise-Induced Transitions in Physics, Chemistry, and Biology External Colored Noise Markovian Dichotomous Noise: An exactly Soluble Colored-Noise Case The Symbiosis of Noise and Order - Concluding Remarks Appendix References
SYN 116	Physics of Bioenergetic Processes Blumenfeld, Alexandrovitsch 1983	1. Auflage	Springer	Introduction Phenomenology of Bioenergetic Processes Membrane Phosphorylation: Chemiosmotic Concept and Other Hypotheses Proteins as Molecular Machines Conformational Relaxation as the Elementary Act of Bioenergetic Processes Conclusion References
SYN 117	Evolution of Order and Chaos in Physics, Chemistry, and Biology Proceedings of the International Symposium on Synergetics at Schloss Elmau, Bavaria, April 26- May 1, 1982 Haken. Hermann 1982	1. Auflage	Springer	Part I: Introduction Part II: Evolution Part III: Coherence in biology Part IV: Instabilities and Pattern Formation in Physics, Chemistry and Biology Part V: Order and Chaos in Quantum electronics and fluids Part VI: Order in Chaos Part VII: Chaos in Quantum Systems Part VIII: Emergence of Order or Chaos in Complex Systems
SYN 118	The Fokker-Planck Equation Methods of Solutions and Applications Risken, Hannes 1996	2. Auflage	Springer	Introduction Probability Theory Langevin Equations Fokker-Planck Equation Fokker-Planck Equation for One Variable; Methods of Solution Fokker-Planck Equation for Several Variables; Methods of Solution Linear Response and Correlation Functions Reduction of the Number of Variables Solutions of Tridigonal Recurrence Relations, Application to Ordinary and Partial Differential Equations Solutions of the Kramers Equation Brownian Motion in Periodic Potentials Statistical Properties of Laser Light Appendices Supplement to the Second Edition References
SYN 119	Chemical Oscillations, Waves, and Turbulence Kuramoto, Yoshiki 1984	1. Auflage	Springer	Introduction Part I: Methods Reductive Perturbation Method Method of Phase Description I Method of Phase Description II Part II: Applications Mutual Entrainment Chemical Waves Chemical Turbulence Appendix References
SYN 120	Advanced Synergetics Instability Hierarchies of Self-Organizing Systems and Devices Haken, Hermann 1987	1. Auflage, 2., korrigierter Druck	Springer	Introduction Linear Ordinary Differential Equations Linear Ordinary Differential Equations with Quasiperiodic Coefficients Stochastic Nonlinear Differential Equations The World of Coupled Nonlinear Oscillators Nonlinear Coupling of Oscillators: The Case of Persistence of Quasiperiodic Motion Nonlinear Equations. The Slaving Principle Nonlinear Equations. Qualitative Macroscopic Changes Spatial Patterns The Inclusion of Noise Discrete Noisy Maps Example of an Unsolvable Problem in Dynamics Some Comments on the Relation Between Synergetics and Other Sciences Appendix References
SYN 121	Stochastic Phenomena and Chaotic Behaviour in Complex Systems Proceedings of the Fourth Meeting of the UNESCO Working Group on System Analysis. Flattnitz, Kärnten, Austria, June 6-10, 1983 Schuster, Peter 1984	1. Auflage	Springer	Part I: General Concepts Part II: Chaotic Dynamics Theory Part III: Chaotic Dynamics - Real Systems and Experimental Verification Part IV: Stability and Instability in Dynamical Networks Part V: Stochasticity in Complex Systems
SYN 122	Synergetics. From Microscopic to Macroscopic Order Proceedings of the International Symposium on Synergetics at Berlin, July 4-8, 1983. Frehland, Eckarrt 1984	1. Auflage	Springer	Part I: Order, Chaos, Indeterminacies Part II: Ordered Structures and Processes in Biomembranes Part III: Evolution of Structures Part IV: Social Sciences Part V: Complex Systems
SYN 123	Synergetics of the Brain. Proceedings of the International Symposium on Synergetics at Schloß Elmau, Bavaria, May 2-7, 1983 Basar, Erol Flohr, Hans Haken, Hermann Mandell, Arnold J. 1983	1. Auflage	Springer	Part I: Experimental Results Part II: Theoretical Approaches
SYN 124	Chaos and Statistical Methods Proceedings of the Sixth Kyoto Summer Institute, Kyoto, Japan. September 12-15, 1983 Kuramoto, Yoshiki 1984	1. Auflage	Springer	Part I: General Concepts Part II: Fractals in Dynamical and Stochastic Systems Part III: Onset of Chaos Part IV: One-Dimensional Mappings Part V: Bifurcations and Normal Forms Part VI: Soliton Systems Part VII: Fluid Dynamics Part VIII: Chemical and Optical Systems Part XI: Anomalous Fluctuations
SYN 125	Dynamics of Hierarchical Systems An Evolutionary Approach Nicolis, John S. 1986	1. Auflage	Springer	Introduction Preliminaries from Nonlinear Dynamics and Statistical Physics The Role of Spherical Electromagnetic Waves as Information Carriers Elements of Information and Coding Theory, with Applications Elements of Game Theory, with Applications Stochasticity Due to Deterministic Dynamics in Three-or Higher-Dimensional Space: Chaos and Strange Attractors Epilogue: Relevance of Chaos to Biology and Related Fields Appendix References
SYN 126	Self-Organization and Management of Social Systems Insights, Promises, Doubts, and Questions Ulrich, Hans Probst, Gilbert J. B. 1984	1. Auflage	Springer	Part I: Principles of Self-Organization in Physical, biological, and Social Systems Part II: Self-Organization and Management
SYN 127	Non-Equilibrium Dynamics in Chemical Systems Proceedings of the International Symposium, Bordaux, France, September 3-7, 1984 Vidal, Christian Pacault, Adolphe 1984	1. Auflage	Springer	Part I: General Introduction Part II: Oscillating Reactions and Modelling Problems Part III: Spatial Structures and Chemical Waves Part IV: Chemical Chaos Part V: Noise Effects Part VI: Stochastic Analysis Part VII: Posters
SYN 128	Self-Organization Autowaves and Structures Far From Equilibrium. Proceedings of an International Symposium Pushchino, USSR, July 18-23, 1983 Krinsky, V. I. 1984	1. Auflage	Springer	Part I: Introduction Part II: Self-Organization in Physical Systems: Autowaves and Structures Far from Equilibrium Part III: Mathematical Backgrounds of Autowaves Part IV: Autowaves and Auto-Oscillations in Chemically Active Media Part V: Autowaves in Biological Systems Part VI: Evolution and Self-Organization
SYN 129	Temporal Order Proceedings of a Symposium on Oscillations in Heterogeneous Chemical and Biological Systems, University of Bremen, September 17-22, 1984 Rensing, Ludger Jaeger, Nils I. 1985	1. Auflage	Springer	Part I: Dynamics of Chemical Systems Part II: Dynamics of Biological Systems
SYN 130	Dynamical Problems in Soliton Systems Proceedings of the Seventh Kyoto Summer Institute, Kyoto, Japan, August 27-31, 1984 Takeno, Shozo 1985	1. Auflage	Springer	Part I: Mathematical Theory of Solitons Part II: Field Theory and Statistical Mechanics of Solitons Part III: Solitons in Plasma Physics and Hydrodynamics Part IV: Solitons in Condensed Matter Physics Part V: Solitons in Biological Systems Part VI: Solitons and Chaos
SYN 131	Complex Systems - Operational Approaches in Neurobiology, Physics and Computers Proceedings of the International Symposium on Synergetics at Schloss Elmau, Bavaria, May 6-11, 1985 Haken, Hermann 1985	1. Auflage	Springer	Part I: Evolution Part II: Functions of the Brain in Man and Animals Part III: Coordination of Motion Part IV: Computers and Computing Part V: Theoretical Concepts Part VI: Physical Systems; Order and Chaos
SYN 132	Dimensions and Entropies in Chaotic Systems Quantification of Complex Behavior. Proceedings of an Internatioal Workshop at the Pecos River Ranch, New Mexico, September 11-16, 1985 Mayer-Kress, Gottfried 1986	1. Auflage	Springer	Part I: Introduction Part II: General Theory, Mathematical Aspects of Dimensions, Basic Problems Part III: Numerical and Experimental Problems in the Calculation of Dimensions and Entropies Part IV: Computation of Lyapunov Exponents Part V: Reliability, Accuracy and Data-Requirements of Different Algorithms Part VI: Analysing Spatio Temporal Chaos Part VII: Experimental Results and Applications
SYN 133	Selforganization by Nonlinear Irreversible Processes Proceedings of the Third International Conference Kühlungsborn, GDR, March 18-22, 1985 Ebeling, Werner Ulbricht, Heinz 1986	1. Auflage	Springer	Part I: Basic Concepts Part II: Stochastic and Statistic Theory Part III: Dissipative Structures Part IV: Evolution Processes Part V: Chaotic Processes
SYN 134	Instabilities and Chaos in Quantum Optics Arecchi, Tito Harrison, Robert G. 1987	1. Auflage	Springer	Introduction Part I: Instabilities and Chaos in Active Systems Part II: Instabilities and Chaos in Passive Systems
SYN 135	Nonequilibrium Phase Transitions in Semiconductors Self-Organization Induced by Generation and Recombination Processes. Schöll, Eckehard 1987	1. Auflage	Springer	Introduction Bistability of Homogeneous Steady States Small Fluctuations from the Homogeneous Steady State Stationary Transverse Spatial Structures Stability of Transverse Spatial Structures Self-Sustained Oscillations and Chaos References
SYN 136	Temporal Disorder in Human Oscillatory Systems Proceedings of an International Symposium University of Bremen, 8-13 September 1986 Rensing, Ludger Heiden, an der, Uwe Mackey, Michael C. 1987	1. Auflage	Springer	Part I: Theoretical Concepts Part II: Neural and Neuromotot Systems Part III: Heart and Respiration Part IV: Circadian Clocks Part V: Ovarian Cycles
SYN 137	The Physics of Structure Formation Theory and Simulation. Proceedings of an International Symposium, Tübingen, Fed. Rep. Of Germany, October 27-Nov. 2, 1986 Güttinger, Werner Dangelmayr, Gerhard 1987	1. Auflage	Springer	Part I: Disordered Systems, Networks and Patterns Part II: Structure Formation in Nonlinear Systems Part III: Interfacial Patterns Part IV: Diffusion Limited Aggregation and Fractals Part V: Chaos and Turbulence Part VI: Bifurcations and Symmetry
SYN 138	Computational Systems - Natural and Artificial Proceedings of the Internatioal Symposium on Synergetics at Schloß Elmau, Bavaria, May 4-9, 1987 Haken, Hermann 1987	1. Auflage	Springer	Part I: Introduction Part II: Natural Computational Systems Part III: Pattern Analysis and Pattern Formation Part IV: Spin Glass Models and Neural Networks Part V: Physical Devices Part VI: General computational Processes Part VII: Robotics
SYN 139	From Chemical to Biological Organization Markus, Mario Müller, Stefan C. Nicolis, Gregoire 1988	1. Auflage	Springer	Part I: General Concepts Part II: Chemical Organization Part III: Biochemical Organization Part IV: Cellular and Intercellular Organization Part V: From Complex Cellular Networks to the Brain Part VI: Ecological, Epidemiological and Economical Organization
SYN 140	Information and Self-Organization A Macroscopic Approach to Complex Systems Haken, Hermann 1988	1. Auflage	Springer	The Challenge of Complex Systems From the Microscopic to the Macroscopic World ...and Back Again: The Maximum Information Principle (MIP) An Example from Physics: Thermodynamics Application of the Maximum Information Principle to Self-Organizing Systems The Maximum Information Principle for Nonequilibrium Phase Transitions: Determination of Order Parameters, Enslaved Modes, and Emerging Patterns Information, Information Gain, and Efficiency of Self-Organizing Systems Close to Their Instability Points Direct Determination of Lagrange Multipliers Unbiased Modling of Stochastic Processes: How to Guess Path Integrals, Fokker-Planck Equations and Langevin-Ito Equations Application to Some Physical Systems Transitions Between Behavioural Patterns in Biology. An Example: Hand Movements Pattern Recognition Quantum Systems Concluding Remarks and Outlook References
SYN 141	Propagation in Systems Far From Equilibrium Proceedings of the Workshop, Les Houches, France, March 10-18, 1987 Wesfreid, Jose, E. Brand, Helmut R. Mannville, Helmut R. Albinet, Gilbert Boccara, Nino 1988	1. Auflage	Springer	Part I: Introduction Part II: Interfaces and Fronts Part III: Chemical Waves Part IV: Envelope Equations and Localized Excitations Part V: Phase Dynamics and Pattern Selection Part VI: Paropagation in Confined Systems Part VII: Open Flow Systems
SYN 142	Neural and Synergetic Computers Proceedings of the International Symposium at Schloss Elmau, Bavaria, June 13-17, 1988 Haken, Hermann 1988	1. Auflage	Springer	Part I: Synergetics, Self-Organization, Pattern Recognition Part II: Neural Networks Part III: Perception and Motor Control Part IV: Optical Systems
SYN 143	Cooperative Dynamics in Complex Physical Systems Proceedings of the Second Yukawa International Symposium, Kyoto, Japan, August 24-27, 1988 Takayama, Hajime 1989	1. Auflage	Springer	Part I: New Type of Phase Transitions in Frustrated Systems, Polymers, etc. Part II: Spin Glass and Related Random Systems Part III: Optimization Problems and Neutral Network Models Part IV: Nonlinear Dynamics in Fluids, Chemical and Biological Systems etc.
SYN 144	Optimal Structures in Hetreogeneous Reaction Systems Plath, Peter J. 1989	1. Auflage	Springer	Modelling of Heterogeneously Catalyzed Reactions by Cellular Automata of Dimension Between One and Two The Study of Kinetic Oscillations in the Catalytic CO-Oxidation on Single Crystal Surfaces Optimization of Heterogeneous-Catalyst Structure: Simulations and Experiments with Fractal and Non-Fractal Systems Reaction Kinetics in Disordered Systems: Hierarchical Models Optimization and Complexity in Molecular Biology and Physics Explicit Observers Dynamics of Networks and Pattern Processing Synergetics Applied to Pattern Formation and Pattern Recognition
SYN 145	Synergetics of Cognition Proceedings of the International Symposium at Schloß Elmau, Bavaria, June 4-8, 1989 Haken, Hermann Stadtler, Michael 1990	1. Auflage	Springer	Part I: Introduction Part II: Network Models Part III: Oscillatory Processes in the Brain Part IV: Stability in Cognitive Systems Part V: Perception and Action Part VI: Psycho-Emotional Development and Social Cognition Part VII: Language Processes
SYN 146	Theories of Immune Networks Atlan, Henri Cohen, Irun R. 1989	1. Auflage	Springer	Introduction to Immune Networks Natural Id-Anti-Id Networks and the Immunological Homunculus Self-Nonself Immunological Tolerance and Idiotype Networks Extensive Percolation in Reasonable Idiotypic Networks The Concept of Idiotypic Network: Deficient or Premature? Dynamical Behaviour of Discrete Models of Jerne's Network Some Reflections on Memory in Shape Space Regulation of the Immune Response: A Discrete Mapping Approach Simulation of the Immune Cellular Response by Small Neutral Networks Discrete Time Versus Continuous Time Approach to the Autoimmune Response Optimizing the Immune Control of Parasitic Invasion
SYN 147	Relative Information Theories and Applications Jumarie, Guy 1990	1. Auflage	Springer	Relative Information - What for? Information Theory - The State of the Art A Critical Review of Shannon Information theory A Theory of Relative Information A Theory of Subjective Information A Unified Approach to Discrete and Continuous Entropy A Unified Approach to Informational Entropies via Minkowskian Observation Entropy of Form and Pattern A Theory of Relative Statistical Decision Concluding Remarks and Outlook References
SYN 148	Dissipative Structures in Transport Processes and Combustion Interdisciplinary Seminar, Bielefeld, July 17-21, 1989 Meinköhn, Dirk 1990	1. Auflage	Springer	Part I: Fluid Flow: Turbulence, Modelling Part II: Combustion Waves, Flames Part III: Turbulent Combustion Part IV: Reaction-Diffusion Systems: Stability, Pattern Formation, Autowaves, Chaos
SYN 149	Neuronal Cooperativity Krüger, Jürgen 1991	1. Auflage	Springer	Introduction The Structure-Function Problem in Visual Cortical Circuitry Studies by Cross-Correlation Techniques and Multi-Channel Recordings Optical Imaging of Neuronal Activity in the Living Brain Dynamic Aspects of Neuronal Cooperativity: Fast Stimulus-Locked Modulations of Effective Connectivity Temporal Structure of Cortical Information Processing: Cortical Architecture, Oscillations and Non-Separability of Spatio-Temporal Receptive Field Organization Spike Train Correlations on Slow Time Scales in Monkey Visual Cortex Connectivity and Functional Organization in the Mammalian Visual Cortex The Formation of Cooperative Cells Assemblies in the Visual Cortex Stimulous-Specific Synchronizations in the Visual Cortex: Linking of Local Features into Global Figures? Cross-Correlation Analysis of Motoneuron Inputs in a Coordinated Motor Act Correlated Activitiy of Neurons: A Neural Code for Higher Brain Functions? Systems Neuronal Activity in Learning
SYN 150	Synergetic Computers and Cognition A Top-Down Approach to Neural Nets Haken, Hermann 1991	1. Auflage	Springer	Goal Part I: Synergetic Computers Part II: Cognition and Synergetic Computers Part III: Logical Operations and Outlook
SYN 151	Foundations of Synergetics I Distributed Active Systems Mikhailov, A. S. 1990	1. Auflage	Springer	Introduction Bistable Media Excitable Media Oscillatory Media Active Media with Long-Range Inhibition Neural Networks Reproductive Networks References
SYN 151a	Foundations of Synergetics I Distributed Active Systems Mikhailov, A. S. 1994	2. Auflage	Springer	Introduction Bistable Media Excitable Media Oscillatory Media Active Media with Long-Range Inhibition Neural Networks Reproductive Networks References
SYN 152	Foundations of Synergetics II Complex Patterns Mikhailov, A. S. Loskutov, A. Yu 1991	1. Auflage	Springer	Introduction Unpredictable Dynamics Strange Attractors Fractals Discrete Maps Routes to Temporal Chaos Spatio-Temporal Chaos Random Processes Active Systems with Noise Population Explosions Extinction and Long-Time Relaxation Catastrophes References
SYN 152a	Foundations of Synergetics II Chaos and Noise Mikhailov, A. S. Loskutov, A. Yu 1996	2., erweiterte und überarbeitete Auflage	Springer	Introduction Unpredictable Dynamics Strange Attractors Fractals Iterative Maps Routes to Temporal Chaos Spatiotemporal Chaos Random Processes Active Systems with Noise Birth-Death Systems Extinction and Complex Relaxation Nonequilibrium Phase Transitions References
SYN 153	Synergetic Economics Time and Change in Nonlinear Economics Zhang, Wie-Bin 1991	1. Auflage	Springer	Introduction Time and Change in Economics Mathematical Aspects of Dynamic Systems Multiple Equilibria and Structural Changes in Economic Systems Economic Cycles Economic Chaos in Deterministic Systems Stochastic Processes and Economic Evolution Urban Pattern Formation Process - Stability, Structural Changes and Chaos The Haken Slaving Principle and Time Scale in Economic Analysis Implications of Synergetic Economics Conclusions and Prospects for Further Research References
SYN 154	Quantum Signatures of Chaos Haake, Fritz 1991	1. Auflage	Springer	Introduction Time Reversal Level Repulsion Random-Matrix Theory Level Clustering Level Dynamics Quantum Localization Dissipative Systems References
SYN 155	Rhythms in Physiological Systems Proceedings of the International Symposium at Schloß Elmau, Bavaria, October 22-25, 1990 Haken, Hermann Koepchen, Hans Peter 1991	1. Auflage	Springer	Part I: Physiological Rhythmicity and Synergetics Part II: Cardiovascular Rhythms Part III: Respiratoy Rhythms Part IV: Motor Coordination Part V: Basis of Circadian Rhythmicities Part VI: Rhythms in Electrical Activity of the Brain Part VII: Rhythms in Perception Part VIII: Aspects of Systems Theory
SYN 156	Quantum Noise Gardiner, Crispin W. 1991	1. Auflage	Springer	A Historical Introduction Quantum Statistics Quantum Lagevin Equations Phase Space Methods Quantum Markov Processes Applying the Master Equation Amplifiers and Measurement Photon Counting Interaction of Light with Atoms Squeezing
SYN 157	Nonlinear Nonequilibrium Thermodynamics I Linear and Nonlinear Fluctuation - Dissipation Theorems Stratonovich, Rouslan L. 1992	1. Auflage	Springer	Introduction Auxiliary Information Concerning Probability theory and Equilibrium Thermodynamics The Generating Equation of Markov Nonlinear Nonequilibrium Thermodynamics Consequences of the Markov Generating Equation Fluctuation -Dissipation Relations of Non-Markov Theory Some Uses of Non-Markov FDRs Appendices References
SYN 158	Self-Organization and Clinical Psychology Empirical Approaches to Synergetics in Psychology Tschacher, Wolfgang Schiepek, Günther Brunner, Ewald Johannes 1992	1. Auflage	Springer	Part I: Synergetics in Psychology: Basic Issues Part II: Simulation and Empirically Based Models of Self-Organizing Processes Part III: Self-Organizing Processesin Psychotherapy Part IV: Studies of Social and Mental Self-Organization
SYN 159	Nonlinear Nonequilibrium Thermodynamics II Advanced Theory Straonovich, Rouslan L. 1994	1. Auflage	Springer	1. Generating Equations of Non-Markov Theory 2. Nonequilibrium Thermodynamics of Open Systems 3. The Kirchhoff's Form of Fluctuation- Dissipation Relations 4. Method of Projection in space of Phase Space Distributions Appendices References
SYN 160	Limits of Predictability Kravtsov, Yurii A. 1993	1. Auflage	Springer	1. Introduction 2. Forecasting Weather and Climate 3.How an Active autowave Medium Can be Used to Predict the Future 4. Synergetics, Predictability and Deterministic Chaos 5. The Information-Theoretic approach to Assessing Reliability of Forecasts 6. Prediction of Time Series 7. Fundamental and Practical Limits of Predictability 8. The Future is Foreseeable but not Predictable: The 'Oedipus Effect' in Social Forecasting 9. The Self-Organization of American Society in Presidential and Senatorial Elections 10. Problems of Predictability in Ethnogenic Studies
SYN 161	On Self-Organization An Interdisciplinary Search for a Unifying Principle Mishra, R. K. Maaß, D. Zwierlein, E. 1994	1. Auflage	Springer	Introduction Self-Organization in Evolution, Immune Systems, Economics, Neural Nets, and Brains On the Evolution of Open socio-economic Systems Can Synergetics Serve as a Bridge Between the Natural and Social Sciences Modelling Concepts of Synergetics with Application to Transitions Between Totalitarian and Liberal Political Ideologies Self-Organization, Artificial Intelligence and Connectionism Speedup of Self-Organization Through Quantum Mechanical Parallelism Living State for Self-Organization A Model for Stimulated and Co-operative Electron Transfer in Biomolecular Systems Self-Organization, Catastrophe Theory and the Problem of Segmentation Self-Organization, Entropy and Order Self-Organization, Valuation and Optimization Symbolic Dynamics and the Description of Complexity Instabilities in Nonlinear Dynamics: Paradigms for Self-Organization Uncertainty Principle, Coherence and Structures Intrinsic Irreversibility of Unstable Dynamical System Self-Organization as a Creative Process. Philosophical Aspects Music and Mind - a Theory of Aesthetic Dynamics The Paradigm of Self-Organization and Its Philosophical Foundation
SYN 162	Interdisciplinary Approaches to Nonlinear Complex Systems Haken, Hermann Mikhailov, A. 1993	1. Auflage	Springer	Introduction Part I: General Aspects of Complex Systems Part II: Mathematical Models of Populations and Societies Part III: Complex Systems and Social Sciences and Psychology Part IV: Complex Systems in Biology, Physiology and Ecology
SYN 163	Inside Versus Outside Endo- and Exo-Concepts of Observation and Knowledge in Physics, Philosophy and Cognitive Science Atmanspacher, Harald Dalenoort, G. J. 1994	1. Auflage	Springer	Introduction 1. General Aspects 2. The Perspective of Theoretical Physics 3. The Perspective of Cognitive Science
SYN 164	Ambiguity in Mind and Nature Multistable Cognitive Phenomena Kruse, Peter Stadler, Michael 1995	1. Auflage	Springer	Introduction I. Basic Concepts II. Psychophysical and Phenomenological Approaches III. Attractors in Behaviour IV. Semantic Ambiguity V. Models of Multistability VI. Brain Processes VII. Symmetry Breaking in Nature
SYN 165	Modelling the Dynamics of Biological Systems Nonlinear Phenomena and Pattern Formation Mosekilde, Erik Mouritsen, Ole G.	1. Auflage	Springer	Introduction Part I: Pattern Formation in Chemical Systems Part II: Biological Patterns Part III: Dynamics of Biological Macromolecules Part IV: Physiological Control Systems Part V: Complex Ecologies and Evolution
SYN 166	Self-Organization in Optical Systems and Applications in Information Technology Vorontsov, Mikhail Miller, Walter B. 1995	1. Auflage	Springer	Introduction: Self-Organization in Nonlinear Optics - Kaleidoscope of Patterns Chapter 1: Information Processing and Nonlinear Physics: From Video Pulses to Waves and Structures Chapter 2: Design Kit of Nonlinear Spatial Dynamics Chapter 3: Pattern Formation in Passive Nonlinear Optical Systems Chapter 4: Spatio-Temporal Instability Threshold Characteristics in Two-Level Atom Devices Chapter 5: Transverse Traveling-Wave Patterns and Instabilities in Lasers Chapter 6: Laser-Based Optical Associative Memories Chapter 7: Pattern and Vortex Dynamics in Photorefractive Oscillators Chapter 8: From the Hamiltonian Mechanics to a Continous Media. Dissipative Structures. Criteria of Self-Organization
SYN 166	Self-Organization in Optical Systems and Applications in Information Technology Vorontsov, Mikhail Miller, Walter B. 1998	2. Auflage	Springer	Introduction: Self-Organization in Nonlinear Optics - Kaleidoscope of Patterns Chapter 1: Information Processing and Nonlinear Physics: From Video Pulses to Waves and Structures Chapter 2: Design Kit of Nonlinear Spatial Dynamics Chapter 3: Pattern Formation in Passive Nonlinear Optical Systems Chapter 4: Spatio-Temporal Instability Threshold Characteristics in Two-Level Atom Devices Chapter 5: Transverse Traveling-Wave Patterns and Instabilities in Lasers Chapter 6: Laser-Based Optical Associative Memories Chapter 7: Pattern and Vortex Dynamics in Photorefractive Oscillators Chapter 8: From the Hamiltonian Mechanics to a Continous Media. Dissipative Structures. Criteria of Self-Organization
SYN 167	Principles of Brain Functioning A Synergetic Approach to Brain Activity, Behavior and Cognition Haken, Hermann 1996	1. Auflage	Springer	Prologue Part I: Foundations Part II: Behavior Part III: EEG and MEG Part IV: Cognition
SYN 169	Predictability of Complex Dynamical Systems Kravtsov, Yurii A. Kadke, James B. 1996	1. Auflage	Springer	Part 1: Introduction Part 2: Time Series Analysis: The Search for Determinism Part 3: Dynamical Modeling and Forecasting Algorithms Part 4: Prediction of Biological Systems Part 5: Analysis and Forecasting of Financial Data Part 6: Socio-Political and Global Problems
SYN 170	Synergetics of Measurement, Prediction and Control Grabec, Igor Sachse, Wolfgang 1997	1. Auflage	Springer	1. Introduction 2. A Quantitative Description of Nature 3. Transducers 4. Probability Densities 5. Information 6. Maximum Entropy Principles 7. Adaptive Modeling of Natural Laws 8. Self-Organization and Formal Neurons 9. Modeling by Non-Parametric Regression 10. Linear Modeling and Invariances 11. Modeling and Forecasting of Chaotic Processes 12. Modeling by Neural Networks 13. Fundamentals of Intelligent Control 14. Self-Control and Biological Evolution
SYN 171	Interfacial Wave Theory of Pattern Formation Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow Xu, Jian-Jun 1998	1. Auflage	Springer	1. Introduction 2. Unidirectional Solidification and the Mullins-Sekerka Instability 3. Mathematical Formulation of Free Dendrite Growth from a Pure Melt 4. Steady State of Dendrite Growth with Zero Surface Tension and Its Regular Perturbation Expansion 5. The Steady State for Dendrite Growth with Nonzero Surface Tension 6. Global Interfacial Wave Instability of Dendrite Growth from a Pure Melt 7. The Effect of Surface Tension Anisotropy and Low-Frequency Instability on Dendrite Growth 8. Three-Dimensional Dendrite Growth from Binary Mixtures 9. Viscous Fingering in a Hele-Shaw Cell
SYN 172	Asymptotic Approaches in Nonlinear Dynamics New Trends and Applications Awrejcewicz, Jan Andrianov, Igor V. Manevitch, Leonid I. 1998	1. Auflage	Springer	1. Introduction: Some General Principles of Asymptotology 2. Discrete Systems 3. Continous Systems 4. Discrete-Continous Systems
SYN 173	Critical Phenomena in Natural Sciences Chaos, Fractals, Selforganization and Disorder: Concepts and Tools Sornette, Didier 2000	1. Auflage	Springer	1. Useful Notions of Probability Theory 2. Sums of Random Variables, Random Walks and the Central Limit Theorem 3. Large Deviations 4. Power Law Distributions 5. Fractals and Multifractals 6. Rank-Ordering Statistics and Heavy Trails 7. Statistical Mechanics: Probabilistic Point of View and the Concept of "Temperature" 8. Long-Range Correlations 9. Phase Transitions: Critical Phenomena and First-Order Transitions 10. Transitions, Bifurcations and Precursors 11. The Renormalization Group 12. The Percolation Model 13. Rupture Models 14. Mechanisms for Power Laws 15. Self-Organized Criticality 16. Introduction to the Physics of Random Systems 17. Randomness and Long-Range Laplacian Interactions
SYN 2	Elements of Soliton Theory Lamb, G. L. (Jr.) 1980	1. Auflage	Wiley	1. Introduction 2. Topics in One-Dimensional Scattering Theory 3. Inverse Scattering in One Dimension 4. The Korteweg-de Vries Equation 5. Some Evolution Equations Related to a Two-Component Linear System 6. Applications I 7. Applications II 8. Bäcklund Transformations 9. Perturbation Theory
SYN 3	Strukturbildung bei irreversiblen Prozessen Eine Einführung in die Theorie dissipativer Strukturen Ebeling, Werner 1976	1. Auflage	Teubner	1. Einleitung 2. Struktur und Entropie 3. Stabilität und Nichtlinearität 4. Nichtlineare mechanische und elektrische Systeme 5. Dissipative Strukturen hydrodynamischer Systeme 6. Nichtlineare Reaktionen in homgenen chemischen Systemen 7. Dissipative Strukturen inhomogener chemischer Systeme 8. Nichtlineare Thermodynamik irreversibler Prozesse und Evolutionskriterien 9. Selektionsprozesse in Molekülsystemen
SYN 4	Vom Sein und Werden Zeit und Komplexität in den Naturwissenschaften Prigogine, Ilya 1980	1. Auflage	Piper	Kapitel I: Die Zeit in der Physik Kapitel II: Physik des Seins - die klassische Dynamik Kapitel III: Physik des Seins - die Quantenmechanik Kapitel IV: Physik des Werdens - die Thermodynamik Kapitel V: Physik des Werdens - die Selbstorganisation Kapitel VI: Physik des Werdens - Nichtgleichgewichts-Schwankungen und Ordnung aus dem Chaos Kapitel VII: Brückenschlag vom Sein zum Werden - die kinetische Theorie Kapitel VIII: Brückenschlag vom Sein zum Werden - die mikroskopische Theorie irreversibler Prozesse Kapitel IX: Die Gesetze des Wandels
SYN 6	Bifurcation Theory and Applications in Scientific Disciplines Gurel, Okan Rössler, Otto E. 1979	1. Auflage	The New York Academy of Sciences	Introduction Part I. Mathematics Part II. Biology Part III. Chemistry and Chemical Engineering Part IV. Physics Part V. Ecology Part VI. Economics Part VII. Engineering Part VIII. Experimantation and Simulation
SYN 7	Thermodynamic Network Analysis of Biological Systems Schnakenberg, J. 1981	2. korrigierte und ergänzte Auflage	Springer	1. Introduction 2. Models 3. Thermodynamics 4. Networks 5. Networks for Transport Across Membranes 6. Feedback Networks 7. Stability
SYN 8	Biophysik Ein Lehrbuch Hoppe, Walter Lohmann, Wolfgang Markl, Hubert Ziegler, Hubert 1978	1. Auflage (korrigierter Nachruck)	Springer	1. Bau der Zelle (Prokaryonten, Eukaryonten) 2. Der chemische Bau biologisch wichtiger Makromoleküle 3. Physikalische Methoden zur Bestimmung der strukturellen Eigenschaften von Biomolekülen 4. Intra- und Intermolekulare Wechselwirkungen 5. Energieübertragungsmechanismen 6. Strahlenbiophysik 7. Tracer-Methoden in der Biologie 8. Energetische und statistische Beziehungen 9. Enzyme als Biokatalysatoren 10. Die biologische Funktion der Nucleinsäuren 11. Membranen 12. Sensorische Transduktionsprozesse 13. Photobiophysik 14. Biomechanik 15. Elektrozezeption und Ortung im elektrischen Feld 16. Geo-Biopysik: Schwerefeld, Magnetfeld und Organismen 17. Kybernetik 18. Evolution
SYN 9	Solitons and Condensed Matter Physics Proceedings of the Symposium on Nonlinear (Soliton) Structure and Dynamics in Condensed Matter, Oxford, England, June 27-29, 1978 Bishop, Alan R. Schneider, Toni 1981	1. Auflage, Revised Second Printing	Springer	I. Introduction II. Mathematical Aspects III. Statistical Mechanics and Solid-State Physics IV. Summary
SYN 10	Stability of Thermodynamic Systems Proceedings of the Meeting Held at Bellaterra School of Thermodynamics, Autonomous University of Barcelona Bellaterra (Barcelona) Spain, September 1981 Lebon, Georgy Casas-Vazquez, Jose 1982	1. Auflage	Springer	Thermodynamic Theory of Stability Mathematical Methods in Stability Theory Some Physical Mechanisms of Hydrodynamical Instabilities Hydrodynamic Fluctations Near the Rayleigh-Benard Instability Some Topics About the Transition to Turbulence Experimental Aspects of the Transition to Turbulence in Rayleigh-Benard Connection Heat Flux in Convective Instabilities Unstable Flows of Concentrated Suspensions Dissipative Structures and Oscillations in Reaction-Diffusion Models With or Without Time-Delay Fluctuations in Electromagnetic Systems Instabilities in Ecology Strange Attractors
SYN 12	Nichtlineare Elektrotechnik Philippow, Eugen 1963	1. Auflage	Geest & Portig	Einleitung I. Nichtlineare Gleichstromnetze II. Nichtlineare Wechselstromnetze III. Analytische Darstellung nichtlinearer Kennlinien IV. Differentialgleichungen der nichtlinearen Elektrotechnik und ihrer Behandlung V. Beispiele häufig vorkommender Differentialgleichungen zweiter Ordnung VI. Nichtlineare Einrichtungen
SYN 32	Nonlinear Dynamical Systems Cook, P. A. 1986	1. Auflage	Prentice-Hall International	1. Introduction 2. State-Space Models 3. Harmonic Analysis 4. Piecewise-Linear Models 5. Stability 6. Control System Performance 7. Discrete-time Systems
SYN 13	The Hypercycle A Principle of Natural Self-Organization Eigen, Manfred Schuster, Peter 1979	1. Auflage	Springer	A. Emergency of the Hypercycle B. The Abstract Hypercycle C. The Realistic Hypercycle
SYN 14	Linear and Nonlinear Waves Whitham, G. B. 1974	1. Auflage	Wiley	1. Introduction and General Outline 2. Waves and First Order Equations 3. Specific Problems 4. Burger's Equation 5. Hyperbolic Systems 6. Gas Dynamics 7. The Wave Equation 8. Shock Dynamics 9. The Propagation of Weak Shocks 10. Wave Hierarchies 11. Linear Dispersive Waves 12. Wave Patterns 13. Water Waves 14. Nonlinear Dispersion and the Variational Method 15. Group Velocities, Instability, and Higher Order Dispersion 16. Application of the Nonlinear Theory 17. Exact Solutions; Interacting Solitary Waves
SYN 16	Solitons Mathematical Methods for Physicists Eilenberger, Gert 1983	1. Auflage, Second Correcteed Printing	Springer	1. Introduction 2. The Korteweg-de Vries Equation (KdV) 3. The Inverse Scattering Transformation (IST) as Illustrated with the KdV 4. Inverse Scattering Theory for Other Evolution Equations 5. The Classical Sine-Gordon Equation (SGE) 6. Statistical Mechanics of the Sine-Gordon System 7. Difference Equations: The Toda Lattice
SYN 17	Nonlinear Oscillations, Dynamical Systems, and Birfurcations of Vector Fields Guckenheimer, John Holmes, Philip 1983	1. Auflage	Springer	Chapter 1. Introduction: Differential Equations and Dynamical Systems Chapter 2. An introduction to Chaos: Four Examples Chapter 3: Local Bifurcations Chapter 4: Averaging and Perturbation from a Geometric Viewpoint Chapter 5: Hyperbolic Sets, Symbolic Dynamics, and Strange Attractors Chapter 6: Global Bifurcations Chapter 7: Local Codimension Two Bifurcation of Flows
SYN 18	Solitons and Nonlinear Wave Equations Dodd, Roger Eilbeck, Chris Gibbon, John Morris, Hedley 1982	1. Auflage	Academic Press	1. Solitary Waves and Solitons 2. Scattering Transforms 3. The Schrödinger Equation and the Korteweg-de Vries Equation 4. The Inverse Method for the Isospectral Schrödinger Equation and the General Solution of the Solvable Nonlinear Equations 5. Isolating the Korteweg-de Vries Equation in some Physical Examples 6. The Zakharov-Shabat/AKNS Inverse Method 7. Kinks and the Sine-Gordon Equation 8. The Nonlinear Schrödinger Equation and Wave Resonance Interactions 9. Amplitude Equations in Unstable Systems 10. Numerical Studies of Solitons
SYN 19	Ferienkurs 83 - Nichtlineare Dynamik in kondensischer Materie Vom 28. Februar bis 11. März 1983 in der Kernforschungsanlage Jülich Eilenberger, G. Müller-Krumbhaar, H. 1983 (?)	k. A.	k. A.	I. Einführung II. Grundlagen nichtlinearer Analyse: Differential- und Differenzgleichungen III. Populationsdynamik und chemische Reaktionen IV. Partielle Differentialgleichungen: Dynamische Stabilitätsanalyse V. Hydrodynamische Instabilität: Mathematische Grundlagen VI. Experimentelles zur Rayleigh-Benard-Konvektion VII. Symbolische Dynamik VIII. Universalität in dissipativen Systemen: die logistische Gleichung IX. Das Verhalten von Flüssigkeiten als Beispiel für getriebene nichtlineare dissipative Systeme - auf dem Weg zum Chaos X. Reguläres und chaotisches Verhalten Hamiltonscher Systeme XI. "Hufeisen"-Abbildung und Chaos XII. Chaos in kontinuierlichen Systemen: Melnikov-Funktion XIII. Dissipative kontinuierliche Systeme XIV. Gestaltbildung beim Kristallwachstum XV. Nichtlineare Optik: Phasenübergänge und Chaos im Laser XVII. Solitonen: Ladungsdichtewellen XVIII. Überstrukturbildung beim Magnetismus XIX. Überstruktur-Phasenübergänge, diskrete Abbildungen und "Devil's Staircase" XX. Zweidimensionale diskrete Abbildungen XXI. Modenselektion: Stabilität und Wettbewerb XXII. Strömung zwischen konzentrischen rotierenden Zylindern XXIII. Turbulenz XXIV. Intermittenz XXV. Diffusion aus deterministischer Dynamik XXVI. Spin-Gläser: Ergodenprobleme in der statistischen Mechanik XXVII. Klima-Modelle XXVIII. Lineare Response in diskreten Systemen XXIX. Einfluss von Fluktuationen XXX. Ein einfaches dynamisches Investitionsverflechtungsmodell mit nichtlinearen Eigenschaften
SYN 20	Nonlinear Phenomena Proceedings of the CIFMO School and Workshop Held at Oaxtepec, Mexico, November 29 - December 17, 1982 Wolf, Kurt Bernardo 1983	1. Auflage	Springer	Comments on the Inverse Scattering Transform and Related Nonlinear Evolution Equations The Geometry of Self-Dual Einstein Spaces Integrable Dynamical Systems and Related Mathematical Results Chiral Fields, Self-dual Yang-Mills Fields as Integrable Systems, and the Role of the Kac-Moody Algebra The Homogeneous Hilbert Problem, the Geroch Conjecture, and a New Nine -Parameter Solution of the Einstein-Maxwell Equations The Inverse Scattering Transform for Multidimensional (2+1) Problems The Technique of Variable Separation for Partial Differential Equations Collectivity and Geometry Some Physical Applications of Solitons Lie Groups and Solutions of Nonlinear Differential Equations
SYN 21	Computational Methods in Bifurcation Theory and Dissipative Structures Kubicek, M. Marek, M. 1983	1. Auflage	Springer	Chapter 1. Introduction Chapter 2. Multiplicity and Stability in Lumped-Parameter Systems (LPS) Chapter 3. multiplicity and Stability in Distributed-Parameter Systems (DPS) Chapter 4. Development of Quasi-stationary Patterns with Changing Parameter Chapter 5. Perspectives
SYN 22	Statics and Dynamics of Nonlinear Systems Proceedings of a Workshop at the Ettore Majorana Centre, Erice, Italy, 1-11 July, 1983 Benedek, Giorgio Bilz, Heinz Zeyher, Roland 1983	1. Auflage	Springer	Part 1: Basic Aspects of Nonlinear Systems Part 2: Phase Transitions Part 3: Incommensurable Phases and Charge-Density Waves Part 4: Chaos in Condensed Matter Part 5: Solitons and Other Exact Solutions of Nonlinear Equations
SYN 23	Geometrical Methods of Nonlinear Analysis Krasnosel'skii, Aleksndrovic Zabreiko, Petrovic 1984	1. Auflage	Springer	Chapter 1. Vector Fields in Finite Dimensional Spaces Chapter 2. Completely Continuous Vector Fields Chapter 3. Principles of Relatedness Chapter 4. Fields with Noncompact Operators Chapter 5. Solvability of Nonlinear Equations Chapter 6. Equations With Many Solutions Chapter 7. Constructions of Solutions Chapter 8. Small Perturbations of Nonlinear Equations
SYN 24	Oscillations in Chemical Reactions Gurel, O. Gurel, D. 1983	1. Auflage	Springer	Types of Oscillations in Chemical Reactions Recent Developments in Chemical Oscillations
SYN 25	Nonlinear Phenomena in Physics Proceedings of the 1984 Latin American School of Physics, Santiago, Chile, July 16 - August 3, 1984 Claro, Francisco 1985	1. Auflage	Springer	Part I. Mathematical Methods and General Part II. Quantum Optics Part III. Fluids Part IV. Astrophysics and General Relativity Part V. High Energy Physics
SYN 26	High Speed Computation Kowalik, Janusz S. 1984	1. Auflage	Springer	Opening Address Keynote Address Part 1. Hardware Systems Part 2. Performance and Capabilities of Computer Systems Part 3. Algorithms and Applications
SYN 27	Biomathematics in 1980 Papers Presented at a Workshop on Biomathematics: Current Status and Future Perspectives, Salerno, April 1980 Ricciardi, Luigi Scott, Alwyn 1982	1. Auflage	North-Holland	Chapter I: Feedforward Control and Senescence Chapter II: Mathematical Methods of Synergetics for Applications to Self-Organizing Systems Chapter III: The Mathematics of Excitation Chapter IV: Nerve Pulse Interactions Chapter V: Models for the Transient Amacrine Cells in the Retina Chapter VI: Operational Models of Neural Encoding Chapter VII: A Strategy for Investigating Solutions of Coupled Nonlinear Diffusion Equations, With Applications to Pattern Formation Models in Biology Chapter VIII: Some Recent Topics in Pattern Formation Chapter IX: Regulation of Cell Divisions in the Sea Urchin Embry Chapter X: Outline of a Theory of the Cerebral Cortex Chapter XI: Modelling Cognitive Processes in Self-Organizing Neural Networks, an Exercise in Scientific Reduction Chapter XII: How Useful are Associative Memories? Chapter XIII: Search for a Formalism Describing a Generalized "Alopex" Process Chapter XIV: A Mathematical Theory of Self-Organizing Nerve Systems Chapter XV: Effective Extraction of Information Included in Network Descriptions and Neural Spike Recordings Chapter XVI: Quantitative Objective Study of Human Visual Perception and Recognition Chapter XVII: On a Class of Difference Equations Modeling Growth Processes Chapter XVIII: A Mathematical Model of Density Dependent Dispersive Motions Chapter XIX: An Application of Periodic Optimal Control to a Problem of Fish Harvesting Chapter XX: Identification and Sensitivity Analysis for the Pulmonary Circuit in the Cardiovascular System
SYN 28	Global Solutions of Reaction-Diffusion Systems Rothe, Franz 1984	1. Auflage	Springer	Part I: Existence and A Priori Estimates for Reaction-Diffusion Equations Part II: Some Examples of Reaction-Diffusion Systems Arising in Applications
SYN 29	Universality in Chaos Cvitanovic, Pedrag 1984	1. Auflage	Hilger	Introduction Part 1: Introductory Articles Part 2: Experiments Part 3: Theory Part 4: Noise Part 5: Intermittency Part 6: Period-Doubling in Higher Dimensions Part 7: Beyond the One-Dimensional Theory Part 8: References
SYN 30	Cellular Automata Proceedings of an Interdisciplinary Workshop Los Alamos, New Mexico 87545, USA, March 7-11, 1983 Farmer, Doyne Toffoli, Tommaso Wolfram, Stephen 1984	1. Auflage	North-Holland	Universality and Complexity in Cellular Automata Applications of Ergodic Theory and Sofic Systems to Cellular Automata Some Applications of Information Theory to Cellular Automata Chaos and Diffusion in Deterministic Cellular Automata Structure in Asynchronous Cellular Automata Growth Rates and Fractional Dimensions in Cellular Automata Exploiting Regularities in Large Cellular Spaces Physics-like Models of Computation Simulating Physics with Cellular Automata Cellular Automata as an Alternative to (rather than an Approximation of) Differential Equations in Modeling Physics
SYN 31	Fronts, Interfaces and Patterns Proceedings of the Third Annual International Conference of the Center for Nonlinear Studies, Los Alamos, New Mexico 87545, USA May 2-6, 1983 Bishop, Alan R. Campbell, Laurence J. Channell, Paul J. 1984	1. Auflage	North-Holland	Section 1: Boundaries of demarcation Section 2: Boundaries of reaction and transformation Section 3: Mathematical structure and computational methods
SYN 33	Deterministic Chaos An Introduction Schuster, Heinz Georg 1984	1. Auflage	Physik-Verlag	Introduction 1. Experiments and Simple Models 2. Piecewise Linear Maps and Deterministic Chaos 3. Universal Behavior of Quadratic Maps 4.The Intermittency Route to Chaos 5. Strange Attractors in dissipative Dynamical Systems 6. Regular and Irregular Motion in Conservative Systems 7. Chaos in Quantum Systems Outlook
SYN 34	An Introduction to Chaotic Dynamical Systems Devaney, Robert L. 1986	1. Auflage	Benjamin/Cummings	Part One: One-Dimensional Dynamics Part Two: Higher Dimensional Dynamics Part Three: Complex Analytic Dynamics
SYN 35	Nonlinear Dynamics and Chaos Geometrical Methods for Engineers and Scientists Thompson, J. M. T. Stewart, H. B. 1986	1. Auflage	Wiley	Preface Introduction Part I: Basic Concepts of Nonlinear Dynamics Part II: Iterated Maps as Dynamical Systems Part III: Flows, Outstructures, and Chaos Part IV: Applications in the Physical Sciences
SYN 36	The Dripping Faucet as a Model Chaotic System Shaw, Robert 1984	1. Auflage	Aerial Press	kein Inhaltsverzeichnis im Buch vorhanden
SYN 37	Solitons Trullinger, S. E. Zakharov, V. E. Pokrovsky, V. L. 1986	1. Auflage	North-Holland	1. Solitons in Biology 2. Experimental Observation of a Davydov-Like Soliton 3. Thermodynamics of Two-Dimensional Soliton-Systems 4. Spin Dynamics of Heisenberg Chains 5. Solitons and Nonlinear Phenomena in Parametrically Excited Spin Waves 6. Soliton Model of Polyacetylene 7. Classical Statistical Mechanics of Lattice Dynamic Model Systems 8. Solitons in superfluid 3He 9. Solitons in Josephson Transmission Lines 10. Soliton Stability 11. Dynamical and Topological Solitons in Ferromagnets and Antiferromagnets 12. Solitons and Surface Diffusion 13. Integrable Magnetic Models 14. Solitons in Charge and Spin Density Wave-Systems 15. Solitons on the Toda Lattice: Thermodynamical and Quantum-Mechanical Aspects 16. Nonlinear Effects in Low-Dimensional Magnets
SYN 38	Oscillations and Traveling Waves in Chemical Systems Field, Richard J. Burger, Maria 1985	1. Auflage	Wiley	Introduction: The Early Period of Systematic Studies of Oscillations and Waves in Chemical Systems 1. The Mathematical Aspects of temporal Oscillations in Reacting Systems 2. Experimental and Mechanistic Characterization of Bromate-Ion-Driven Chemical Oscillations and Traveling Waves in Closed Systems 3. A Quantative Account of Oscillations, Bistability, and Traveling Waves in the Belousov-Zhabotinskii Reaction 4. Mathematical Analysis of the Oregonator Model of the Belousov-Zhabotinskii Reaction 5. Chemical Oscillators Based on Iodate Iron and Hydrogen Peroxide 6. Numerical Techniques for Modeling and Analysis of Oscillating Reactions 7. From Bistability to Sustained Oscillations in Homogeneous Chemical Systems in Flow Reactor Mode 8. Halogen-Based Oscillators in a Flow Reactor 9. Periodically Perturbed Chemical Systems 10. The Structure and Variety of Chemical Waves 11. Propagating Reaction-Diffusion Fronts 12. Organizing Centres for Chemical Waves in Two and Three Dimensions 13. Gas Evolution Oscillators 14. Isothermal Oscillations and Relaxation Ignitions in Gas-Phase Reactions: The Oxidations of Carbon Monoxide and Hydrogen 15. Thermokinetic Oscillations in Homogeneous Gas-Phase Oxidations 16. Oscillating Chemical Reactions as an Example of the Development of a Subfield of Science
SYN 39	Cell-to-Cell Mapping A Method of Global Analysis for Nonlinear Systems Hsu, C. S. 1987	1. Auflage	Springer	Chapter 1: Introduction and Overview Chapter 2: Point Mapping Chapter 3: Analysis of Impulsive Parametric Excitation Problems by Point Mapping Chapter 4: Cell State Space and Simple Cell Mapping Chapter 5: Singularities of Cell Functions Chapter 6: A Theory of Index for Cell Functions Chapter 7: Characteristics of Singular Entities of Simple Cell Mappings Chapter 8: Algorithms for Simple Cell Mappings Chapter 9: Examples of Global Analysis by Simple Cell Mapping Chapter 10: Theory of Generalized Cell Mapping Chapter 11: Algorithms for Analyzing Generalized Cell Mappings Chapter 12: An Iterative Method, from Large to Small Chapter 13: Study of Strange Attractors by Generalized Cell Mapping Chapter 14: Other Topics of Study Using the Cell State Space Concept
SYN 40	Einführung in die Gaselektronik Grundlagen der Elektrizitätsleitung in Gasen Wiesemann, Klaus 1976	1. Auflage	Teubner	1. Historische Einführung 2. Die unselbstständige Entladung 3. Ionisierung durch Ladungsträger 4. Zündbedingung, P a s c h e n gesetz 5. Elastische Stöße zwischen Elektronen und Gasmolekeln 6. Stöße von Atomen und Ionen im Gas 7. Diffusion und Drift 8. Ambipolare Diffusion, Diffusionsmoden 9. Messung von Beweglichkeit und Diffusionskoeffizient in Schwarmexperiemten 10. Driftmessungen mit positiv geladenen Ionen 11. Driftmessungen an negativ geladenen Ionen 12. Rekombination 13. Ionisierungsprozesse im Gasraum 14. Ionisierungskoeffizienten 15. Zündung selbstständiger Entladungen im konstanten elektrischen Feld 16. Zündung im hochfrequenten Wechselfeld 17. Literaturverzeichnis 18. Sachwortverzeichnis
SYN 41	On Growth and Form Fractal and Non-Fractal Patterns in Physics Stanley, Eugene H. Ostrowsky, Nicole 1986	1. Auflage	Martinus Nijhoff	Part A "The Course" Part B "The Seminars"
SYN 42	Order within Chaos Towards a deterministic approach to turbulence Bergé, Pierre Pomenau, Yves Vidal, Christian 1984	1. Auflage	Wiley/Hermann	Part One: From Oder...Introduction: Nonmonotonic evolution Chapter I - Free oscillator - Damped oscillator Chapter II - Forced oscillator - Parametric oscillator Chapter III - The Fourier transform Chapter IV - Poincaré sections Chapter V - Three examples of dynamical systems Part Two: ...to Chaos; Introduction: Temporal chaos in dissipative systems Chapter VI - Strange Attractors Chapter VII - Quasiperiodicity Chapter VIII - The subharmonic cascade Chapter IX - Intermittency Debate
SYN 43	When Time Breaks Down The Three-Dimensional Dynamics of Electrochemical Waves and Cardiac Arrhythmias Winfree, Arthur T. 1987	1. Auflage	Princeton University Press	Part I: Arrhythmia Part II: Rotating Waves Part III: Organizing Centres Part IV: Postlude
SYN 441	Dynamical Systems I Ordinary Differential Equations and Smooth Dynamical Systems Anosov, D. V. Arnold, V. I 1985	1. Auflage	Springer	I. Ordinary Differential Equations II. Smooth Dynamical Systems
SYN 442	Dynamical Systems II Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics Sinai, Ya. G. 1989	1. Auflage	Springer	I. General Ergodic Theory of Groups of Measure Preserving Transformations II. Ergodic Theory of Smooth Dynamical Systems III. Dynamical Systems of Statistical Mechanics and Kinetic Equations
SYN 443	Dynamical Systems III Mathematical Aspects of Classical and Celestial Mechanics Arnold, V. I. Kozlov, V. V. Neishtadt, A. I. 1988	1. Auflage	Springer	Chapter 1. Basic Principles of Classical Mechanics Chapter 2. The n-body Problem Chapter 3. Symmetry Groups and Reduction (Lowering the Order) Chapter 4. Integrable Systems and Integration Methods Chapter 5. Perturbation theory for Integrable Systems Chapter 6. Nonintegrable Systems Chapter 7. Theory of Small Oscillations
SYN 445	Dynamical Systems V Bifurcation Theory and Catastrophe Theory Arnol'd, V. I. 1994	1. Auflage	Springer	I. Bifurcation Theory II. Catastrophe Theory
SYN 446	Dynamical Systems VI Singularity Theory I Arnol'd, V. I. 1993	1. Auflage	Springer	Foreword Chapter 1. Critical Points of Functions Chapter 2. Monodromy Groups of Critical Points Chapter 3. Basic Properties of Maps Chapter 4. The Global Theory of Singularities
SYN 447	Dynamical Systems VII Integrable Systems, Nonholonomic Dynamical Systems Arnol'd, V. I. Novikov, S. P. 1994	1. Auflage	Springer	I. Nonholonomic Dynamical Systems, Geometry of Distributions and Variational Problems II. Integrable Systems II III. Geometric and Algebraic Mechanisms of the Integrability of Hamiltonian Systems on Homogeneous Spaces and Lie Algebras
SYN 46	Self-Orgaization and Associative Memory Kohonen, Teuvo 1988	2. Auflage	Springer	1. Various Aspects of Memory 2. Pattern Mathematics 3. Classical Learing Systems 4. A New Approach to Adaptive Filters 5. Self-Organizing Feature Maps 6. Optimal Associative Mappings 7. Pattern Recognition 8. More about Biological Memory 9. Notes on Neural Computing 10. Optical Associative Memories
SYN 47	Chaotic Vibrations An Introduction for Applied Scientists and Engineers Moon, Francis C. 1987	1. Auflage	Wiley	1. Introduction 2. How to Identify Chaotic Vibrations 3. A Survey of Systems with Chaotic Vibrations 4. Experimental Methods in Chaotic Vibrations 5. Criteria for Chaotic Vibrations 6. Fractal Concepts in Nonlinear Dynamics Appendix A. Glossary of Terms in Chaotic and Nonlinear Vibrations Appendix B. Numerical Experiments in Chaos Appendix C. Chaotic Toys
SYN 48	Die Physik, das Leben und die Seele Gierer, Alfred 1986	3. Auflage	Piper	I. Physik - die Grundlage der objektiven Naturwissenschaft? II. Logisches Denken, mögliches Wissen und Grenzen der Entscheidbarkeit III. Grundprozesse des Lebens IV. Vererbung, Information und Evolution V. Biologische Strukturbildung VI. Gestaltbildung, Gestalterkennung, Gestalterklärung VII. Verhalten und Gehirnprozesse VIII. Physik, Bewusstsein und das "Leib-Seele-Problem" IX. Einheit der Natur, Mehrdeutigkeit der Welt X. Wissenschaft, Religion und kultureller Pluralismus
SYN 49	Number Theory in Science and Communication With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity Schroeder, Manfred R. 1986	2., erweiterte Auflage	Springer	1. Introduction 2. The Natural Numbers 3. Primes 4. The Prime Distribution 5. Fractions: Continued, Egyptian and Farey 6. Linear Congruences 7. Diophantine Equations 8. The Theorems of Fermat, Wilson and Euler 9. Euler Trap Doors and Public-Key Encryption 10. The Divisor Functions 11. The Prime Divisor Functions 12. Certified Signatures 13. Primitive Roots 14. Knapsack Encryption 15. Quadratic Residues 16. The Chinese Remainder Theorem and Simultaneous Congruences 17. Fast Transformations and Kronecker Products 18. Quadratic Congruences 19. Pseudoprimes, Poker and Remote Coin Tossing 20. The Möbius Function and the Möbius Transform 21. Generating Functions and Partitions 22. Cyclotomic Polynomials 23. Linear Systems and Polynomials 24. Polynomial Theory 25. Galois Fields 26. Spectral Properties of Galois Sequences 27. Random Number Generators 28. Waveforms and Radiation Patterns 29. Number Theory, Randomness and "Art" 30. Self-Similarity, Fractals, Deterministic Chaos and a New State of Matter
SYN 50	Biomathematics and Related Computational Problems Ricciardi, Luigi M. 1988	1. Auflage	Kluwer	I. Neurosciences and Related Problems II. Population Theories III. Morphogenesis and Pattern Formation IV. Theoretical and Computational Methods V. Biological, Chemical and Physical Systems
SYN 51	From Optical Bistability Towards Optical Computing The EJOB Project Mandel, P. Smith, S. D. Wherrett, B. S. 1987	1. Auflage	North-Holland	Chapter 1: The Background and Objectives of the European Joint Optical Bistability Collaborative Project Chapter 2: Optical Nonlinearities for Bistability: Theory Chapter 3: Optical Nonlinearities for Bistability: Experiments Chapter 4: Optical Bistability and Devices: Theory Chapter 5: Optical Bistability and Devices: Experiments Chapter 6: Alternative Optical Bistability Schemes Chapter 7: Optical Circuitry and Optical Computing Architectures Chapter 8: Summary and Conclusion to EJOB
SYN 52	From Equilibrium to Chaos Practical Bifurcation and Stability Analysis Seydel, Rüdiger 1988	1. Auflage	Elsevier	1. Introduction and Prerequisites 2. Basic Nonlinear Phenomena 3. Practical Problems 4. Principles of Continuation 5. Calculation of the Branching Behaviour of Nonlinear Equations 6. Calculating Branching Behaviour of ODE Boundary-Value Problems 7. Stability of Periodic Solutions 8. Qualitative Instruments 9. Chaos
SYN 53	Modelling of Patterns in Space and Time Proceedings of a Workshop held by the Sonderforschungsbereich 123 at Heidelberg July 4-8, 1983 Jäger, W. Murray, J. D. 1984	1. Auflage	Springer	Contraction patterns in a viscous polymer system Formation and evolution of spatial structures in chemotactic bacterial systems Pattern formation in directional solidification: the nonlinear evolution of cellular melt/solid interfaces Evolution of 3-D chemical waves in the BZ reaction medium Patterns of bifurcations in plane layers and spherical shells Chemotactic collapse in two dimensions Singular bifurcation in reaction-diffusion systems How chemical structure determines spatial structure in flame profiles An age-dependent population model with applications to microbial growth processes Cell traction and the generation of anatomical structure A hysteresis model for bacterial growth patterns Chaos in simple three- and four-variable chemical systems Spatial structures induced by chemical reactions at interfaces: survey of some possible models and computerized pattern analysis Dynamic patterns in excitable media Head regeneration in hydra: biological studies and a model Pattern formation in aspect Chemotaxis and cell aggregation Turing structures, periodic and chaotic regimes in coupled cells Digits, segments, somites - the superposition of sequential and periodic structures Spatial pattern formation in thin layers of NADH-solutions Pattern formation in precipation processes On a mechanical model for morphogenesis: mesenchymal patterns Every multi-mode singularity perturbed solution recovers it's stability - from a global bifurcation view point A mechanochemical model for plasmodial oscillations in physarum Genomic control of global features in morphogenesis Patterns of starvation in a distributed predator-prey system Global branches of one-dimensional stationary solutions to chemotaxis systems and stability Analytical and topological methods for reaction-diffusion systems and stability Branching processes with interaction as models of cellular pattern formation Periodic growth phenomena in spatially organized microbial systems
SYN 54	From Clocks to Chaos The Rhythms of Life Glass, Leon Mackey, Michael C. 1988	1. Auflage	Princeton University Press	Chapter 1. Introduction: The Rhythms of Life Chapter 2. Steady States, Oscillations, and Chaos in Physiological Systems Chapter 3. Noise and Chaos Chapter 4. Mathematical Models for Biological Oscillators Chapter 5. Initiation and Termination of Biological Rhythms Chapter 6. Single Pulse Perturbation of Biological Oscillators Chapter 7. Periodic Simulation of Biological Oscillators Chapter 8. Spatial Oscillations Chapter 9. Dynamical Diseases
SYN 55	Models of Biological Pattern Formation Meinhardt, Hans 1982	1. Auflage	Academic Press	1. Theories as a necessary supplement to experimental observations 2. Some basic features of control and development 3. Self-enhancement (autocatalysis) and long range inhibition - a general mechanism for pattern formation 4. Polar, symmetric and periodic patterns - basic properties of an activator-inhibitor system 5. Polarity, size regulation and alternative molecular realization 6. Almost a summary: hydra as a model organism 7. Spatial sequences of structures under the control of a morphogen gradient 8. A gradient model for early insect development 9. Pattern formation in subfields: formation of new organizing regions by cooperation of compartments 10. Boundaries between differently determined cells control pattern formation in the limb of vertebrates 11. The activation and maintenance of determined states 12. Pattern formation by lateral activation of locally exclusive states 13. Generation of sequences of structures by mutual induction of locally exclusive states 14. Digits, segments, somites: the superposition of periodic and sequential structures 15. Formation of net-like structures 16. Summary and conclusion: how to achieve the spatial organization of a developing embryo 17. Computer programs for simulation of pattern formation and interpretation
SYN 56	Bifurcation of Maps and Applications Iooss, G. 1979	1. Auflage	North-Holland	Chapter I. Stability or instability of a fixed point of a map in a Banach space Chapter II. Bifurcation of fixed points in R Chapter III. Hopf Bifurcation in R2 Chapter IV. Subharmonic bifurcations of fixed points in R2-strong resonance Chapter V. Invariant manifolds and applications Chapter VI. Bifurcation of an invariant circle into an invariant 2-torus for a one parameter family of maps
SYN 571	Dynamics - The Geometry of Behaviour Part One: Periodic Behaviour 1985 (?)	1. Auflage	Aerial Press	1. Basic Concepts of Dynamics 2. Classical Applications: Limit Points in 2D from Newton to Rayleigh 3. Vibrations: Limit Cycles in 2D from Rayleigh to Rashevsky 4. Forced Vibrations: Limit cycles in 3D from Rayleigh to duffing 5. Compound Oscillations: Invariant tori in 3D from Huyghens to Hayashi Conclusion
SYN 572	Dynamics - The Geometry of Behaviour Part Two: Chaotic Behaviour Abraham, Ralph H. Shaw, Christopher D. 1984	1. Auflage	Aerial Press	Ch.1. Static Limit Sets and Characteristic Exponents Ch. 2. Periodic Limit Sets and Characteristic Multipliers Ch. 3. Chaotic Limit sets Ch. 4. Attributes of Chaos
SYN 573	Dynamics - The Geometry of Behaviour Part Three: Global Behavior Abraham, Ralph H. Shaw, Christopher D. o. J.	1. Auflage	Aerial Press	Ch. 1. Global Phase Portraits Ch. 2. Generic Properties Ch. 3 Structural Stability Ch. 4 Heteroclinic Tangles Ch. 5 Homoclinic Tangles Ch. 6 Nontrivial Recurrence
SYN 581	Global Bifurcations and Chaos Analytical Methods Wiggins, Stephen 1988	1. Auflage	Springer	Chapter 1. Introduction: Background for Ordinary Differential Equations and Dynamical Systems Chapter 2. Chaos: Its Descriptions and Conditions for Existence Chapter 3. Homoclinic and Heteroclinic Motions Chapter 4. Global Perturbation Methods for Detecting Chaotic Dynamics
SYN 582	Global Bifurcations and Chaos Analytical Methods Wiggins, Stephen 1988	1. Auflage	Springer	Chapter 1. Introduction: Background for Ordinary Differential Equations and Dynamical Systems Chapter 2. Chaos: Its Descriptions and Conditions for Existence Chapter 3. Homoclinic and Heteroclinic Motions Chapter 4. Global Perturbation Methods for Detecting Chaotic Dynamics
SYN 59	Multiple Parameter Stability Theory and ist Applications Bifurcations, Catastrophes, Instabilities... Huseyin, Koncay 1986	1. Auflage	Clarendon Press	1 Introduction 2 Potential Systems 3 Static Instability of Autonomous Systems 4 Dynamic Instability of Autonomous Systems 5 Applications 6 Concluding Remarks
SYN 61	Chaotic Evolution and Strange Attacors The statistical analysis of time series for deterministic nonlinear systems Ruelle, David 1987	1. Auflage	Cambridge University Press	Part I Steps into a deterministic interpretation of chaotic signals Part II The ergodic theory of chaos
SYN 62	Chaos in dynamischen Systemen Steeb, Willi-Hans Kunick, Albrecht 1989	2, erw. Auflage	BI - Wissenschaftsverlag	1 Einleitung 2 Differenzengleichungen mit chaotischem Verhalten 3 Kontinuierliche dissipative Systeme mit chaotischem Verhalten 4 Grenzzyklussysteme mit äußeren periodischen Kräften 5 Anharmonische Systeme mit äußeren periodischen Kräften 6 Elektronische Schwingkreise mit chaotischem Verhalten 7 Hamiltonsysteme mit chaotischem Verhalten 8 Quantenchaos 9 Zelluläre Automaten 10 Raum-Zeit Chaos 11 Singuläre Punktanalyse und Integrabilität 12 Zinglin's Theorem und Nichtintegrabilität
SYN 63	Elements of Differentiable Dynamics and Bifurcation Theory Ruelle, David 1989	1. Auflage	Academic Press	Preface Part 1. Differentiable Dynamical Systems Part 2. Bifurcations Part 3. Appendices References
SYN 64	Nonlinear Waves in Active Media Engelbrecht, Jüri 1989	1. Auflage	Springer	Part I General Problems Part II Mechanics Part III Hydrodynamics and Related Topics Part IV Biological Systems Part V Combustion, Shocks and Related Problems
SYN 66	Nonlinear Differential Equations and Dynamical Systems Verhulst, Ferdinand 1990	1. Auflage	Springer	1 Introduction 2 Autonomous equations 3 Critical points 4 Periodic solutions 5 Introduction to the theory of stability 6 Linear equations 7 Stability by linearization 8 Stability analysis by the direct method 9 Introduction to perturbation theory 10 The Poincaré-Lindstedt method
SYN 67	Mathematik der Selbstorganisation Qualitative Theorie nichtlinearer dynamischer Systeme und gleichgewichtsferner Strukturen in Physik, Chemie und Biologie Jetschke, Gottfried 1989	1. Auflage	VEB	E. Einführung 1. Deterministische dynamische Systeme 2. Systeme mit einem Freiheitsgrad 3. Systeme mit zwei Freiheitsgraden 4. Systeme mit mehr als zwei Freiheitsgraden 5. Chaotische Attraktoren 6. Bifurkationstheorie 7. Katasthrophentheorie 8. Reaktions-Diffusions-Systeme 9. Stochastische dynamische Systeme 10. Stochastische Differentialgleichungen 11. Geburts- und Todesprozesse 12. Zeitdiskrete Systeme mit Rauschen 13. Stochastische partielle Differentialgleichungen
SYN 68	Fractals in the physical sciences Takayasu, H. 1990	1. Auflage	Manchester University Press	1 Introduction to fractals 2 Fractals in nature 3 Fractals on the computer 4 Theoretical models of fractals 5 Mathematical methods for fractals 6 Notes on fractal dimension
SYN 701	Singularities and Groups in Bifurcation Theory Volume I Golubitsky, Martin Schaeffer, David G. 1985	1. Auflage	Springer	Chapter I: A Brief Introduction to the Central Ideas of the Theory Chapter II: The Recognition Problem Chapter III: Unfolding Theory Chapter IV: Classification by Codimension Chapter V: An example of Moduli Chapter VI: Bifurcation with Z2-Symmetry Chapter VII: The Liapunov-Schmidt Reduction Chapter VIII: The Hopf Bifurcation Chapter IX: Two Degrees of Freedom without Symmetry Chapter X: Two Degrees of Freedom with (Z2 + Z2) Symmetry
SYN 702	Singularities and Groups in Bifurcation Theory Volume II Golubitsky, Martin Stewart, Ian Schaeffer, David G. 1988	1. Auflage	Springer	Chapter XI: Introduction Chapter XII: Group-Theoretic Preliminaries Chapter XIII: Symmetry-Breaking in Steady-State Bifurcation Chapter XIV: Equivariant Normal Forms Chapter XV: Equivariant Unfolding Theory Chapter XVI: Symmetry-Breaking in Hopf Bifurcation Chapter XVII: Hopf Bifurcation with O (2) Symmetry Chapter XVIII: Further Examples of Hopf Bifurcation with O (2) Symmetry Chapter XIX: Mode Interactions Chapter XX: Mode Interactions with O (2) Symmetry
SYN 71	Chaotic Dynamics An Introduction Baker, George L. Gollub, Jerry P. 1990	1. Auflage	Cambridge University Press	Introduction Some helpful tools Visualization of the pendulum's dynamics Towards an understanding of chaos The characterization of chaotic attractors Concluding remarks
SYN 72	Mathematical Aspects of Reacting and Diffusing Systems Fife, Paul C. 1979	1. Auflage	Springer	Preface and General Introduction Chapter 1. Modeling Considerations Chapter 2. Fisher's Nonlinear Diffusion Equation and Selection -Migration Chapter 3. Formulation of Mathematical Problems Chapter 4. The Scalar Case Chapter 5. Systems: Comparison Techniques Chapter 6. Systems: Linear Stability Techniques Chapter 7. Systems: Bifurcation Techniques Chapter 8. Systems: Singular Perturbation and Scaling Techniques Chapter 9. Reference to Other Topics
SYN 73	Gas Discharge Physics Raizer, Yuri P. 1991	1. Auflage	Springer	1. Introduction 2. Drift, Energy and Diffusion of Charged Particles in Constant Fields 3. Interaction of Electrons in an Ionized Gas with Oscillating Electric Field and Electromagnetic Waves 4. Production and Decay of Charged Particles 5. Kinetic Equation for Electrons in a Weakly Ionized Gas Placed in an Electric Field 6. Electric Probes 7. Breakdown of Gases in Fields of Various Frequency Ranges 8. Stable Glow Discharge 9. Glow Discharge Instabilities and Their Consequences 10. Arc Discharge 11. Sustainment and Production of Equilibrium Plasma by Fields in Various Frequency Ranges 12. Spark and Corona Discharges 13. Capacitively Coupled Radio-Frequency Discharge 14. Discharges in High-Power CW CO2 Lasers
SYN 73a	Gas Discharge Physics Raizer, Yuri P. 1991	1. Auflage	Springer	1. Introduction 2. Drift, Energy and Diffusion of Charged Particles in Constant Fields 3. Interaction of Electrons in an Ionized Gas with Oscillating Electric Field and Electromagnetic Waves 4. Production and Decay of Charged Particles 5. Kinetic Equation for Electrons in a Weakly Ionized Gas Placed in an Electric Field 6. Electric Probes 7. Breakdown of Gases in Fields of Various Frequency Ranges 8. Stable Glow Discharge 9. Glow Discharge Instabilities and Their Consequences 10. Arc Discharge 11. Sustainment and Production of Equilibrium Plasma by Fields in Various Frequency Ranges 12. Spark and Corona Discharges 13. Capacitively Coupled Radio-Frequency Discharge 14. Discharges in High-Power CW CO2 Lasers
SYN 73b	Gas Discharge Physics Raizer, Yuri P. 1991	1. Auflage	Springer	1. Introduction 2. Drift, Energy and Diffusion of Charged Particles in Constant Fields 3. Interaction of Electrons in an Ionized Gas with Oscillating Electric Field and Electromagnetic Waves 4. Production and Decay of Charged Particles 5. Kinetic Equation for Electrons in a Weakly Ionized Gas Placed in an Electric Field 6. Electric Probes 7. Breakdown of Gases in Fields of Various Frequency Ranges 8. Stable Glow Discharge 9. Glow Discharge Instabilities and Their Consequences 10. Arc Discharge 11. Sustainment and Production of Equilibrium Plasma by Fields in Various Frequency Ranges 12. Spark and Corona Discharges 13. Capacitively Coupled Radio-Frequency Discharge 14. Discharges in High-Power CW CO2 Lasers
SYN 73c	Gas Discharge Physics (russische Originalversion) Raizer, Yuri P. o. J.
SYN 73d	Gas Discharge Physics Raizer, Yuri P. 1997	1. Auflage, korrigierter 2. Druck	Springer	1. Introduction 2. Drift, Energy and Diffusion of Charged Particles in Constant Fields 3. Interaction of Electrons in an Ionized Gas with Oscillating Electric Field and Electromagnetic Waves 4. Production and Decay of Charged Particles 5. Kinetic Equation for Electrons in a Weakly Ionized Gas Placed in an Electric Field 6. Electric Probes 7. Breakdown of Gases in Fields of Various Frequency Ranges 8. Stable Glow Discharge 9. Glow Discharge Instabilities and Their Consequences 10. Arc Discharge 11. Sustainment and Production of Equilibrium Plasma by Fields in Various Frequency Ranges 12. Spark and Corona Discharges 13. Capacitively Coupled Radio-Frequency Discharge 14. Discharges in High-Power CW CO2 Lasers
SYN 74	Neural Networks An Introduction Müller, Berndt Reinhardt, Joachim	1. Auflage, korrigierter 2. Druck	Springer	I Models of Neural Networks 1. The Structure of the Central Nervous System 2. Neural Networks Introduced 3. Associative Memory 4. Stochastic Neurons 5. Cybernetic Networks 6. Multilayered Perceptrons 7. Applications 8. Network Architecture and Generalization 9. Associative Memory: Advanced Learning Strategies 10. Combinatorial Optimization 11. VLSI and Neural Networks 12. Symmetrical Networks with Hidden Neurons 13. Coupled Neural Networks 14. Unsupervised Learning II Statistical Physics of Neural Networks 15. Statistical Physics and Spin Glasses 16. The Hopfield Network for p/ N -->O 17. The Hopfield Network for Finite p/ N 18. The Space of Interactions in Neural Networks III Computer Codes 19. Numerical Demonstrations 20. ASSO: Associative Memory 21. ASSCOUNT: Associative Memory for Time Sequences 22. PERBOOL: Learning Boolean Functions 23. PERFUNC: Learning Continuous Functions with Back-Propagation 24. Solution of the Traveling-Salesman Problem 25. KOHOMAP: The Kohonen Self-organizing Map
SYN 75	Introduction to Applied Nonlinear Dynamical Systems and Chaos Wiggins, Stephen 1990	1. Auflage	Springer	1 The Geometrical Point of View of Dynamical Systems: Background Material, Poincaré Maps, and Examples 2 Methods for Simplifying Dynamical Systems 3 Local Bifurcations 4 Some Aspects of Global Bifurcation and Chaos
SYN 761	Perspectives of nonlinear dynamics Volume 1 Jackson, Atlee, E. 1991	1. Auflage, korrigierte Taschenbuchversion	Cambridge University Press	1 In the beginning... 2 A potpourri of basic concepts 3 First order differential systems 4 Models based on first order difference equations 5 Second order differential systems ( n = 2)
SYN 762	Perspectives of nonlinear dynamics Volume 2 Jackson, Atlee, E. 1991	1. Auflage, korrigierte Taschenbuchversion	Cambridge University Press	6 Models based on second order difference equations 7. Models based on third order differential systems 8. 'Moderate-order' systems 9. Solitaires: solitons and nonsolitons 10. Coupled maps (CM) and cellular automata (CA)
SYN 77	Dynamics and Bifurcations Hale, Jack K. Kocak, Hüseyin 1991	1. Auflage	Springer	Part I: Dimension One Part II: Dimension One and One Half Part III: Dimension Two Part IV: Higher Dimensions
SYN 78	Introduction to Perturbation Techniques Nayfeh, Ali H. 1981	1. Auflage	Wiley	1 Introduction 2 Algebraic Equations 3 Integrals 4 The Duffing Equation 5 The Linear Damped Oscillator 6 Self-Excited Oscillators 7 Systems with Quadratic and Cubic Nonlinearities 8 General Weakly Nonlinear Systems 9 Forced Oscillations of the Duffing Equation 10 Multifrequency Excitations 11 The Mathieu Equation 12 Boundary-Layer Problems 13 Linear Equations with Variable Coefficients 14 Differential Equations with a Large Parameter 15 Solvability Conditions
SYN 79	Neural Networks for Signal Processing Kosko, Bart 1992	1. Auflage	Prentce-Hall	1 Differential Competitive Learning for Phoneme Recognition 2 Texture Segmentation with Neural Networks 3 Image Restoration with Neural Networks 4 Identification of Moving-Average Systems Using Higher-Order Statistics and Learning 5 Object Recognition with Garbor Functions in the Dynamic Link Architecture - Parallel Implementation on a Transputer Network 6 Robotics and Neural Networks 7 Supervised Learning with Gaussian Potentials 8 Design and Analysis of Analog VLSI Neural Networks 9 Photonic Implementations of Neural Networks
SYN 80	Principles of Applied Mathematics Transformation and Approximation Keener, James P. 1988	1. Auflage	Addison Wesley	1 Finite Dimensional Vector Spaces 2 Function Spaces 3 Integral Equations 4 Differential Operators 5 Calculus of Variations 6 Complex Variable Theory 7 Transform and Spectral Theory 8 Partial Differential Equations 9 Inverse Scattering Transform 10 Asymptotic Expansions 11 Regular Perturbation Theory 12 Singular Perturbation Theory
SYN 81	Nonlinearity with Disorder Proceedings of the Tashkent Conference Tashkent, Uzbkistan, October 1-7, 1990 Abdullaev, Fatkulla Bishop, Alan R. Pnevmatikos, Stephanos 1992	1. Auflage	Springer	Part I Mathematical and Statistical Aspects Part II Physical Applications
SYN 82	Perturbation Methods Nayfeh, Ali H. 1973	1. Auflage	Springer	1. Introduction 2. Straightforward Expansions and Sources of Nonuniformity 3. The Method of Strained Coordinates 4. The Methods of Matched and Composite Asymptotic Expansions 5. Variation of Parameters and Methods of Averaging 6. The Method of Multiple Scales 7. Asymptotic Solutions of Linear Equations
SYN 83	Neural Networks and Fuzzy Systems A Dynamical Systems Approach to Machine Intelligence Kosko, Bart 1992	1. Auflage	Prentice-Hall	1 Neural Networks and Fuzzy Systems 2 Neuronal Dynamics I: Activations and Signals 3 Neuronal Dynamics II: Activation Models 4 Synaptic Dynamics I: Unsupervised Learning 5 Synaptic Dynamics II: Supervised Learning 6 Architectures and Equilibria 7 Fuzzyness Versus Probability 8 Fuzzy Associative Memories 9 Comparison of Fuzzy and Neural Truck Backer-Upper Control Systems 10 Fuzzy Image Transform Coding 11 Comparison of Fuzzy and Kalman-Filter Target-Tracking Control Systems Appendix: Neural and Fuzzy Software Instructions
SYN 84	Ökologie Individuen, Populationen und Lebensgemeinschaften 1991	1. Auflage	Birkhäuser	Teil 1 - Organismen Teil 2 - Wechselbeziehungen Teil 3 - Drei Überblicke
SYN 85	Encounter with Chaos Self-Organized Hierarchical Complexity in Semiconductor Experiments Peinke, Joachim Parisi, Jürgen Rösseler, Otto E. Stoop, Ruedi 1992	1. Auflage	Springer	1 Introductory Remarks 2 Semiconductor Physics 3 Nonlinear Dynamics 4 Mathematical Background
SYN 86	Statistical Analysis of Spatial Point Patterns Diggle, Peter J. 1983	1. Auflage	Academic Press	1 Introduction 2 Preliminary testing for mapped patterns 3 Analysis of sparsely sampled patterns 4 Spatial point processes 5 Analysis of mapped patterns 6 Multivariate spatial point processes 7 Analysis of multivariate patterns
SYN 87	Nonlinear Problems in Random Theory Wiener, Norbert 1958	1. Auflage	Technology Press/ Wiley	Lecture 1 The Random Function of Time and Phase Lecture 2 Homogeneous Polynominal Functionals and Their Averages Lecture 3 Orthogonal Functions Lecture 4 Orthogonal Functions and Autocorrelation Functions Lecture 5 Application to Frequency-Modulation Problems -I Lecture 6 Application to Frequency-Modulation Problems -II Lecture 7 Application to Frequency-Modulation Problems -III Lecture 8 Application to the Study of Brain Waves, Random Time, and Coupled Oscillators Lecture 9 Some Thoughts on Quantum Theory Lecture 10 Nonlinear Systems -I Lecture 11 Nonlinear Systems -II Lecture 12 Coding Lecture 13 Decoding Lecture 14 A New Approach to Statistical Mechanics -I Lecture 15 A New Approach to Statistical Mechanics -II
SYN 88	Statistical Analysis of Stationary Time Series Grenander, Ulf 1956	1. Auflage	Almqvist & Wiksell	Chapter 1. Stationary Scholastic Processes and Their Representations Chapter 2. Statistical Questions when the Spectrum is Known (Least Squares Theory) Chapter 3 Statistical Analysis of Parametric Models Chapter 4 Estimation of the Spectrum Chapter 5 Applications Chapter 6 Distribution of Spectral Estimates Chapter 7 Problems in Linear Estimation Chapter 8 Assorted Problems
SYN 89	Solitons in Physics Physica Scripta Vol. 20 Wilhelmsson, Hans 1979	1. Auflage	o. V.	1. Introduction 2. Behaviour of slow Langmuir solitons 3. Modulational instability of deep-water waves 4. Density wave in galaxies
SYN 90	Die Streuung deterministisch-chaotischer Bewegungen Hübinger, Bernd 1993	1. Auflage	Harri Deutsch	1 Einleitung 2 Grundlagen deterministisch chaotischer Systeme 3 Die Streuung chaotischer Systeme 4 Experimenteller Aufbau 5 Ergebnisse zur Steuerung chaotischer Bewegungen 6 Diskussion
SYN 91	Chaos und Herzdynamik Rekonstruktion und Charakterisierung seltsamer Attraktoren aus skalaren chaotischen Zeitreihen Liebert, Wolfgang 1991	1. Auflage	Harri Deutsch	Einführung Rekonstruktion seltsamer Attraktoren aus skalaren Zeitreihen Charakterisierung seltsamer Attraktoren aus skalaren Zeitreihen Anwendung auf die Herzdynamik Zusammenfassung und Ausblick
SYN 92	An Introduction to the Modeling of Neural Networks Peretto, Pierre 1992	1. Auflage	Cambridge University Press	1 Introduction 2 The biology of neural networks: a few features for the sake of non-biologists 3 The dynamics of neural networks: a stochastic approach 4 Hebbian models of associative memory 5 Temporal sequences of patterns 6 The problem of learning in neural networks 7 Learning dynamics in 'visible' neural networks 8 Solving the problem of credit assignment 9 Self-organization 10 Neurocomputation 11 Neurocomputers 12 A critical view of the modeling of neural network
SYN 93	Nonlinear Dynamics in Solids Thomas, Harry 1992	1. Auflage	Springer	Dynamical Structures: Formation, Symmetry, Stability Deterministic Chaos: Introduction and Recent Results Current Instabilities in Semiconductors: Mechanisms and Self-Organized Structures Current Instabilities in the Interplay Between Chaos and Semiconductor Physics Current Density Filaments in Semiconductor Devices Optical Instabilities in Passive Semiconductors Chaos and Nonlinear Effects in Josephson Junctions and Devices Chaotic Dynamics in Spin-Wave Instabilities Solitary Nonlinear Excitations in Spin Systems: Theory Solitary Nonlinear Excitations in Spin Systems: Experiment Ballistic Electrons and Hamiltonian Chaos in Semiconductor Microstructures Spatially Chaotic Structures
SYN 94	Spontaneous Formation of Space - Time Structures and Criticality Riste, T. Sherrington, D. 1991	1. Auflage	Kluwer	Scaling and universality in statistical physics Self-organized criticality and the perception of large events Dynamical aspects of sandpile cellular automata Steady state selection in driven diffusive systems Earthquakes and faulting: Self-organized critical phenomena with a characteristic dimension Self-organized criticality in plate tectonics Experiments and simulations modeling earthquakes Fractal time series and fractional Brownian motion 1/ f noise, lattice gases, and diffusion Fluctuations in a Lévy flight gas Spatio-temporal correlations in semiconductors New travelling and stationary chemical patterns in open spatial reactors Structure of layered systems under reactions Localized and "blinking" traveling wave patterns Localized solutions of generalized Swift-Hohenberg equation Experiments on the Couette-Taylor flow with an axial flow Convection in microemulsions Routes to chaos in a dissipative chain of strongly coupled driven spins Localized structures and solitary waves excited by interfacial stresses Subcritical bifurcations and spatiotemporal intermittency Spatiotemporal intermittency in coupled maps Multifractals, multiscaling and the energy cascade of turbulence Smooth and rough turbulence Structure functions in a "forest-fire" model of turbulence Magnetic flux tubes as coherent structures Helium in a big box Scaling laws in weak turbulence Selforganization and instabilities in a system of magnetic hole pairs Universality in fully developed chaos, and statistics at small scales in turbulence Does dimension grow in flow systems? Turbulent flows and coupled maps New Monte Carlo renormalization group method for phase transitions of lattice systems
SYN 95	Applications of Neural Networks Schuster, H. G. 1992	1. Auflage	VCH	I. Introductory Talks II. Robotics III. Neural Networks for Analysis and Classification
SYN 96	Waves Called Solitons Concepts and Experiments Remoissenet, Michel 1994	1. Auflage	Springer	1 Basic Concepts and the Discovery of Solitons 2 Linear Waves in Electrical Transmission Lines 3 Solitons in Nonlinear Transmission Lines 4 More on Transmission-Line Solitons 5 Hydrodynamic Solitons 6 Mechanical Solitons 7 Fluxons in Josephson Transmission Lines 8 Solitons in Optical Fibers 9 The Soliton Concept in Lattice Dynamics 10 A Look at Some Remarkable Mathematical Techniques
SYN 97	The Physics of Instabilities in Solid State Electron Devices Shaw, Melvin P. Mitin, Vladimir V. Schöll, Eckehard Grubin, Harold L. 1992	1. Auflage	Plenum	1. Introduction 2. Stability 3. Tunnel Diodes 4. The Avalanche Diode 5. The Gunn Diode 6. Superconducting Junctions 7. SNDC Multilayer Semiconductor Structures 8. Thermal and Electrothermal Instabilities
SYN 98	Chaos in Dynamical Systems Ott, Edward 1993	1. Auflage	Cambridge University Press	1 Introduction and overview 2 One-dimensional maps 3 Strange attractors and fractal dimension 4 Dynamical properties of chaotic systems 5 Nonattracting chaotic sets 6 Quasiperiodicity 7 Chaos in Hamiltonian systems 8 Chaotic transitions 9 Multifractals 10 Quantum chaos
SYN 99	Chaos & Complexity Discovering the Surprising Patterns of Science and Technology Kaye, Brian 1993	1. Auflage	VCH	Chapter 1 Preparing for a Journey Through Deterministic Chaos and Complex Systems Chapter 2 Mandelbrot Sets, Julia Lace and Fatou Dusts Chapter 3 The Normal Distribution of Drunks Chapter 4 The Rare Events of Cooperative Chaos Chapter 5 Prussian Horses and Fishy Statistics Chapter 6 Rubber Number Logic and the Swinging Mouse Chapter 7 Congregating Drunks, Soot and Other Pigments Chapter 8 Infinite Coastlines and Other Wiggly Lines Chapter 9 Invisible Carpets, Swiss Cheese and a Slice of Bread Chapter 10 A New Wrinkle on Surface Fractals Chapter 11 Zipf's Law and the Surprising Patterns of Word Occurrences Chapter 12 Climbing Fig Trees to Discover Fascinating Numbers Chapter 13 Coincidences, Clusters and Catastrophes Chapter 14 Mathematical Watersheds and Rooting Around in Drainage Basins Chapter 15 Fourier Analysis, Fractal Dimension and Formation Dynamics
SYN 100	Autosolitons A New Approach to Problems of Self-Organization and Turbulence Kerner, B. S. Osipov, V. V. 1994	1. Auflage	Kluwer	Part One. Physics of Autosolitons and Phenomena of Self-Organization in Active Systems Part Two. Theory of Autosolitons Part Three. Scenarios of Self-Organization and Turbulence in Active Distributed Media
SYN 101	Pattern formation outside of equilibrium Cross, M. C. Hohenberg, P. C. 1993	1. Auflage	The American Physical Society	I Introduction II Basic Phenomenology III General Features of Pattern Formations IV Theoretical Approaches V Elements of Real Patterns VI Pattern Selection VII Chaos VIII Rayleigh-Bénard Convection IX Other Fluid Systems X Patterns in Chemical Reactions XI Biological Patterns XII Other Systems X III Conclusion
SYN 102	Negative Differential Resistance and Instabilities in 2-D Semiconductors Balkan, N. Ridley, B. K. Vickers, A. J. 1993	1. Auflage	Plenum	Negative Differential Resistance: A Brief History and Review Electronic Transport in Semiconductors at High Energies Theory of Oscillatory Instabilities in Parallel and Perpendicular Transport Light Emitting Logic Devices Based on Real Space Transfer in Complementary InGaAs/InAlAs Heterostructures Electron Mobility in Delta-Doped Quantum Well Structures Application of a New Multi-Scale Approach to Transport in a GaAs/AlAs Heterojunction Structure Negative Differential Resistance , Instabilities and Current Filamentation in GaAs/AlxGa1-xAs Heterojunctions Hot Electron Instabilities in QWs: Acoustoelectric Effect and Two-Stream Plasma Instability Hybrid Optical Photons in Lower Dimensional Systems and their Interaction with Hot Electrons Negative Differential Resistance in Superlattice and Heterojunction Channel Conduction Devices Electronic Transport in a Laterally Patterned Resonant Structure Travelling Domains in Modulation-Doped GaAs/AlGaAs Heterostructures Negative Differential resistance and Domain Formation in Semiconductor Superlattices High Frequency DC Induced Oscillations in 2D Hot Electron Induced Impact Ionization and Light Emission in GaAs Based MOSFET's, HEMT's, PM-HEMT's, and HBT's Negative Differential Resistance, High Field Domains and Microwave Emission in GaAs Multi-Quantum Wells On Negative Differential Resistance and Spontaneous dissipative Structure Formation in the Electric Breakdown of p-Ge at Low Temperatures Dissipative Structures in Bistable Electronic and Optoelectronic Semiconductor Devices NDR, Hot Electron Instabilities and Light Emission in LDS Light Emission and Domain Formation in Real-Space Transfer Devices Hot Electrons in GaAs Optical Phonon Modes in Semiconductor Quantum Wells and Superlattices Plasmons on Laterally Drifting 2DEGs Temperature-Dependent Screening Calculations of Hot-Electron Scattering in Heavily Doped Semiconductors Optical Measurements of Carrier Mobilities in Semiconductors using Ultrafast Photoconductivity A Time-Dependent Approach for the Evaluation of Conductance in Two Dimensions Hierarchy of Current Instabilities in the Impact Ionization Avalanche Impact Ionization of Excitons and Donors in Center-Doped AI0.3Ga0.7As/GaAs Quantum Wells Hot Exciton Luminescence in Quantum Wells as a Spectroscopic Tool Combined Quantum Mechanical-Classical Modelling of Double Barrier Resonant Tunneling Diodes
SYN 103	Complex Systems Dynamics An Introduction to Automata Networks Weisbuch, Gérard 1991	1. Auflage	Addison-Wesley	1 Introduction 2 Definitions 3 Cellular Automata 4 Two-Dimensional Cellular Automata 5 The Hopfield Model 6 Beyond the Hopfield Model 7 Hidden Units 8 Statistical Physics 9 Simulated Annealing 10 Random Boolean Networks 11 Genotypes and Phenotypes 12 Conclusions
SYN 104	Wave Motion, Intelligent Structures and Nonlinear Mechanics A Herbert Überall Festschrift Volume Guran, Ardéshir Inman, Daniel J. 1995	1. Auflage	World Scientific Publishing	Chapter 1: Nonlinear Mode Localization and Passive Motion Confinement in Discrete and Continuous Systems Chapter 2: Experiments and Analysis of Sound-Induced Structural Vibrations Chapter 3: Theory of Fiber Acoustic Waveguides Chapter 4: Structural Vibration Suppression Via Parametric Control Actions - Piezoelectric Materials with Real-Time Semi-Active Network Chapter 5: A Transfer Function Method for Modeling and Control of Gyroscopic Dynamic Systems Chapter 6: Nonlinear Control and Boundary Transition of Cantilevered Distributed Systems Chapter 7: On Neural Networks in Identification and Control of Dynamic Systems Chapter 8: Autoparametric Systems with Pendula Chapter 9: A Survey of Geometric Stiffening in Multibody Dynamics Formulations Chapter 10: Flow Instability Between Coaxial Rotating Cylinders with a Flexible Support
SYN 105	Die Erforschung des Chaos Eine Einführung für Naturwissenschaftler und Ingenieure Argys, John Faust, Gunter Haase, Maria 1994	1. Auflage	Vieweg	1 Einführung 2 Hintergrund und Motivation 3 Mathematische Einführung in dynamische Systeme 4 Dynamische Systeme ohne Dissipation 5 Dynamische Systeme mit Dissipation 6 Lokale Bifurkationstheorie 7 Konvektionsströmungen: Bénard-Problem 8 Wege zur Turbulenz 9 Computerexperimente
SYN 106	Nonlinear Oscillations Nayfeh, Ali H. Mook, Dean T. 1995	2. Auflage (mindestens)	Wiley	1. Introduction 2. Conservative Single-Degree-of-Freedom Systems 3. Nonconservative Single-Degree-of-Freedom Systems 4. Forced Oscillations of Systems Having a Single Degree of Freedom 5. Parametrically Excited Systems 6. Systems Having finite Degrees of Freedom 7 Continuous Systems 8 Traveling Waves
SYN 107	Fractal Concepts in Surface Growth Barabási, Albert-László Stanley, Eugene H. 1995	1. Auflage	Cambridge University Press	1 Interfaces in nature 2 Scaling concepts 3 Fractal concepts 4 Random deposition 5 Linear theory 6 Kardar-Parisi-Zhang equation 7 Renormalization group approach 8 Discrete growth models 9 Basic phenomena 10 Quenched noise 11 Experiments 12 Basic phenomena of MBE 13 Linear theory of MBE 14 Nonlinear theory for MBE 15 Discrete models for MBE 16 MBE experiments 17 Submonolayer deposition 18 The roughening transition 19 Nonlocal growth models 20 Diffusion bias 21 Diffusive versus deposition noise 22 Correlated noise 23 Rare events 24 Multi-affine surfaces 25 Variants of the KPZ equation 26 Equilibrium fluctuations and directed polymers 27 Summary of the continuum growth equations 18 Outlook
SYN 108	The Origins of Order Self-Organization and Selection in Evolution Kauffman, Stuart A. 1993	1. Auflage	Oxford University Press	Part I Adaptation on the edge of chaos Part II The crystallization of life Part III Order and Ontogeny
SYN 109	Nichtlineare Dynmik, Bifurkation und Chaotische Systeme Plaschko, Peter Brod, Klaus 1995	1. Auflage	Vieweg	1 Einleitung 2 Diskrete Systeme 3 Kontinuierliche Dynamische Systeme 4 Bifurkationen 5 Asymptotische Methoden 6 Homokline Bifurkationen 7 Bifurkationen mit höherer Ko-Dimension 8 Quantitative Methoden der Beschreibung nichtlinearer und chaotischer Systeme
SYN 110	Practical Numerical Algorithms for Chaotic Systems Parker, Thomas S. Chua, Leon O. 1989	1. Auflage	Springer	1 Steady-State Solutions 2 Poincaré Maps 3 Stability 4 Integration 5 Locating Limit Sets 6 Manifolds 7 Dimension 8 Bifurcation Diagrams 9 Programming 10 Phase Portraits
SYN 111	Dynamical Chaos - Models and Experiments Appearance Routes and Structure of Chaos in Simple Dynamical Systems Anishchenko, V. S. 1995	1. Auflage	World Scientific	Chapter 1. Stability and Bifurcation of Dynamical Systems Chapter 2. Numerical Methods of Chaos Investigations Chapter 3. Inertial Nonlinearity Oscillator. Regular Attractor Bifurcations Chapter 4. Autonomous Oscillation Regimes in Oscillator Chapter 5. Quasiattractor Structure and Properties and Homoclinic Trajectories of Autonomous Oscillator Chapter 6. Two-Frequency Oscillation Breakdown Chapter 7. Breakdown of Two- and Three-Frequency Quasiperiodic Oscillations Chapter 8. Synchronization of Chaos Chapter 9. Nonlinear Phenomena and Chaos in Chua's Circuit Chapter 10. Bifurcations of Dynamical System in the Presence of Noise Chapter 11. Chaos Structure and Properties in the Presence of Noise Chapter 12. Reconstruction of Dynamical Systems from Experimental Data
SYN 112	Biochemical Oscillations and Cellular Rhythms The molecular bases of periodic and chaotic behaviour Goldbeter, Albert 1996	1. Auflage	Cambridge University Press	Part I Glycolytic oscillations Part II From simple to complex oscillatory behaviour Part III Oscillations of cAMP in Dictyostelium cells Part IV From cAMP signaling in Dictyostelium to pulsatile hormone secretion Part V Calcium oscillations Part VI The mitotic oscillator Part VII Circadian rhythms
SYN 114	Nichtlineare Regelungen I Grundbegriffe - Anwendungen der Zustandsebene - Direkte Methode Föllinger, Otto 1993	7., überarb. u. erw. Auflage	Oldenbourg	1 Grundbegriffe nichtlinearer Systeme 2 Analyse und Entwurf der Zustandsebene 3 Grundzüge und Anwendung der Direkten Methode
SYN 115	Nichtlineare Regelungen I Grundbegriffe - Anwendungen der Zustandsebene - Direkte Methode Föllinger, Otto 1993	7., überarb. u. erw. Auflage	Oldenbourg	4 Harmonische Balance 5 Stabilitätskriterien im Frequenzbereich 6 Hyperstabilität 7 Synthese nichtlinearer Regelungen durch Kompensation und Entkopplung ("globale" oder "exakte Linearisierung")
SYN 116	Nichtlineare Regelungssysteme Systemtheoretische Grundlagen Schwarz, Helmut 1991	1. Auflage	Oldenbourg	1 Nichtlineare Regelungssysteme 2 Übertragungsmodelle nichtlinearer zeitkontinuierlicher Systeme 3 Zeitkontinuierliche bilineare Systeme 4 Zeitdiskrete bilineare Systeme 5 Näherungen für nichtlineare Systeme 6 Regler- und Beobachterentwurf für BLS 7 Zustandsmodelle für ALS 8 Differenzengrad und Nulldynamik der ALS 9 Entkopplung und Linearisierung von Mehrgrößen-ALS 10 Zeitdiskrete Analytisch-Lineare Systeme 11 Stochastisch erregte nichtlineare Systeme 12 Zeitdiskrete Systeme und Rauschsignale
SYN 117	Einführung in die Regelungstechnik Lineare und nichtlineare Regelvorgänge Leonhard, Werner 1992	6., verb. Auflage	Vieweg	Teil I Lineare Regelvorgaänge Teil II Nichtlineare Regelvorgänge
SYN 118	Self-Organizing Maps Kohonen, Teuvo 1995	1. Auflage	Springer	1. Mathematical Preliminaries 2. Justification of Neural Modeling 3. The Basic SOM 4. Physiological Interpretation of SOM 5. Variants of SOM 6. Learning Vector Quantization 7. Applications 8. Hardware for SOM 9. An Overview of SOM Literature 10. Glossary of "Neural" Terms
SYN 119	An Introduction to the Mathematics of Biology With Computer Algebra Models Yeargers, Edward K. Shonkwiler, Ronald W. Herod, James V. 1996	1. Auflage	Birkhäuser	Chapter 1 Biology, Mathematics, and a Mathematical Biology Laboratory Chapter 2 Some Mathematical Tools Chapter 3 Reproduction and the Drive for Survival Chapter 4 Interactions Between Organisms and Their Environment Chapter 5 Age-Dependent Population Structures Chapter 6 Random Movements in Space and Time Chapter 7 The Biological Disposition of Drugs and Inorganic Toxins Chapter 8 Neurophysiology Chapter 9 The Biochemistry of Cells Chapter 10 A Biomathematical Approach to HIV and AIDS Chapter 11 Genetics
SYN 120	The Making of a Fly The Genetics of Anaimal Design Lawrence, Peter A. 1992	1. Auflage	Blackwell	1 The mother and the egg 2 The first coordinates 3 Patterning the embryo 4 Cell lineage and cell allocation 5 Selector genes 6 Positional information and polarity 7 Spacing patterns 8 The eye
SYN 121	Mathematica in Theoretical Physics Selected Examples from Classical Mechanics to Fractals Baumann, Gerd 1993	1. (englische) Auflage	Springer	1 Introduction 2 Classical Mechanics 3 Electrodynamics 4 Quantum Mechanics 5 Nonlinear Dynamics 6 General Relativity 7 Fractals
SYN 122	Nonlinear Physics of Complex Systems Current Status and Future Trends Parisi, Jürgen Müller, Stefan C. Zimmermann, Walter 1996	1. Auflage	Springer	Bounds for Properties of Complex Systems Instability without Instability? Spontaneous Density Fluctuations in Granular Flow and Traffic Pattern Selection as a Nonlinear Eigenvalue Problem Conditional Probability Distributions of a Turbulent Cascade The Couette-Taylor Flow: Aparadigmatic System for Instabilities, Pattern Formation, and Routes to Chaos Instabilities in Smectic Films Why Air Bubbles in Water Glow so Easily Competition of Growth Patterns in Directed Growth Asymptotic Dynamics in Directional Solidification Chemical Waves in Media with Complex Anisotrophy Experiments on Excitation Waves Localized Turbulence and Cellular Structures in Systems with Global Coupling Bifurcation Theory of Mandering Spiral Waves Future Trends in Synergetics Synergetic Hardware Concepts for Self-Organizing Neural Networks Nonlinear Time Series Analysis - Potentials and Limitations Time Series Analysis of Scalar Time-Delay Systems Control of Chaos by Self-Adapted Delayed Feedback Mode Analysis of the Generalized Rössler System Combinatorical Optimization with Coupled Chemical Reaction Cells On Superimposed Dynamical Multifractals The Thermodynamics of Random Walks with Applications Brownian Rectifiers: How to Convert Brownian Motion into Directed Transport Stochastics of Pattern Formation Dynamics in Superconducting Arrays of Josephson Junctions Scanning Probe Microscopy of Self-Organized Structure Formation in Semiconductor Systems Impurity Breakdown Induced Current Filaments in n-GasAs Lattice-Gas Approach to Collective Transport Phenomena in Biological Pattern Formation Simulation of Chemotaxis Equations in Two-Space Dimensions
SYN 123	Nichtlineare Dynamik, Bifurkation und Chaotische Systeme Plaschko, Peter, Brod, Klaus 1995	1. Auflage	Vieweg	1 Einleitung 2 Diskrete Systeme 3 Kontinuierliche Dynamische Systeme 4 Bifurkationen 5 Asymptotische Methoden 6 Homokline Bifurkationen 7 Bifurkationen mit höherer Ko-Dimension 8 Quantitative Methoden der Beschreibung nichtlinearer und chaotischer Systeme
SYN 125	Complexity Hierarchical structures and scaling in physics Badii, R. Politi, A. 1997	1. Auflage	Cambridge University Press	Part I Phenomenology and models Part II Mathematical tools Part III Formal characterization of complexity
SYN 126	Thinking in Complexity The Complex Dynamics of Matter, Mind, and Mankind Mainzer, Klaus 1997	3., erw. und verbesserte Auflage	Springer	1. Introduction: From Linear to Nonlinear Thinking 2. Complex Systems and the Evolution of Matter 3. Complex Systems and the Evolution of Life 4. Complex Systems and the Evolution of Mind-Brain 5. Complex Systems and the Evolution of Artificial Intelligence 6. Complex Systems and the Evolution of Human Society 7. Epilogue on Future, Science, and Ethics
SYN 127	Chemical Waves and Patterns Kapral, Raymond Showalter, Kenneth 1995	1. Auflage	Kluwer	Part One. Spiral Waves Part Two. Turing and Turing-Like Patterns Part Three. Chemical Wavedynamics Part Four. Fluctuations and Chemical Waves.
SYN 128	Molekulare Reaktionsdynamik Levine, Raphael D. Bernstein, Richard B. 1991	1. Auflage	Teubner	1 Molekulare Stöße - ein erster Überblick 2 Molekulare Stöße 3 Streuung als Sonde für die Stoßdynamik 4 Chemische Dynamik als Vielkörperproblem 5 Die Praxis der Moleküldynamik 6 Energieübertragung zwischen Molekülen 7 Reaktionsdynamik und chemische Reaktivität
SYN 129	Nonlinear Dynamics A Two Way Trip from Physics to Math Solari, H. G. Natiello, M. A. Mindlin, G. B. 1996	1. Auflage	Institute of Physics Publishing	1 Nonlinear dynamics in nature 2 Linear dynamics 3 Nonlinear examples 4 Elements of the description 5 Elementary stability theory 6 Bi-dimensional flows 7 Bifurcations 8 Numerical experiments 9 Global bifurcations 10 Horseshoes 11 One-dimensional maps 12 Topological structure of three-dimensional flows 13 The dynamics behind data 14 Perturbative methods: averaging 15 Bifurcations and symmetries 16 Global bifurcations: II
SYN 131	Ecology The Experimental analysis of Distribution and Abundance Krebs, Charles J. 1994	4. Auflage	Addison Wesley	Part 1 What Is Ecology? Part 2 The Problem of Distribution: Populations Part 3 The Problem of Abundance: Populations Part 4 Distribution and Abundance at the Community Level
SYN 132	Bifurcation and Chaos Theory and Applications Awrejcewicz, Jan 1995	1. Auflage	Springer	Introduction Quantum Chaos and Ergodic Theory On the Complete Characterization of Chaotic Attractors New Numerical Methods for High Dimensional Hopf Bifurcation Problems Catastrophe Theory and the Vibro-Impact Dynamics of Autonomous Oscillators Codimension Two Bifurcation and Its Computational Algorithm Chaos and Its Associated Oscillations in Josephson Circuits Chaos in Systems with Magnetic Force Bifurcation and Chaos in the Helmholtz-Duffing Oscillator Bifurcations and Chaotic Motions in Resonantly Excited Structures Non-Linear Behavior of a Rectangular Plate Exposed to Airflow
SYN 133	Fractals in Science Bunde, Armin Havlin, Shlomo 1994	1. Auflage	Springer	1 A Brief Introduction to Fractal Geometry 2 Fractals and Self-Organized Criticality 3 Fractals in Biology and Medicine: From DNA to Heartbeat 4 Self-Affine Interfaces 5 A Primer of Random Walkology 6 Polymers 7 Kinetics and Spatial Organization of Competitive Reactions 8 Fractal Analysis of Heterogeneous Chemistry 9 Computer Exploration of Fractals, Chaos, and Cooperativity
SYN 135	Natural Intelligence in Artificial Creatures Balkenius, Christian 1995	1. Auflage	Lunds Offset	1. Introduction 2. Biological Learning 3. Design Principles 4. Reactive Behaviour 5. Modeling Learning 6. Motivation and Emotion 7. Perception 8. Spatial Orientation 9. Cognition 10. Conclusion
SYN 136	Physics and Fractal Structures Gouyet, Jean Francois 1996	1. Auflage	Springer	1. Fractal geometries 2 Natural fractal structures 3 Natural fractal structures:...to the microscopic 4 Growth models 5 Dynamical aspects 6 Bibliography 7 Index
SYN 137	Complexity and Diversity Nakamura, E. R. 1997	1. Auflage	Springer	Part I Overview Part II Mathematical Systems Part III Physical Systems Part IV Living Systems Part V Social Systems
SYN 138	The Transitions to Chaos In Conservative Classical Systems: Quantum Manifestations Reichl, L. E. 1992	1. Auflage	Springer	Part I Classical Systems Part II Quantum Systems Part III Stochastic Systems Part IV Appendices
SYN 139	From Instability to Intelligence Complexity and Predictability in Nonlinear Dynamics Zak, Michail Zbilut, Joseph P. Meyers, Ronald E. 1997	1. Auflage	Springer	I Predictability in Classical Dynamics II Terminal (Non-Lipsschitz) Dynamics in Biology and Physics
SYN 140	Spatio-Temporal Pattern Formation With Examples from Physics, Chemistry, and Materials Science Walgraef, Daniel 1997	1. Auflage	Springer	1 Introduction 2 Instabilities and Patterns in Hydrodynamical Systems 3 Instabilities and Patterns in Reaction-Diffusion Systems 4 Generic Aspects of Pattern-Forming Instabilities 5 The Hopf Bifurcation and Related Spatio-Temporal Patterns 6 The Turing Instability and Associated Spatial Structures 7 Defects and Defect Bifurcations 8 The Effect on External Fields 9 Fronts 10 Pattern Formation: Generic versus Nongeneric Aspects 11 Microstructures in Irritated Materials 12 Plastic Instabilities 13 Afterword 14 Appendices
SYN 141	Interfacial Wave Theory of Pattern Formation Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow Xu, Jian-Jun 1998	1. Auflage	Springer	1. Introduction 2. Unidirectional Solidification and the Mullins-Sekerka Instability 3. Mathematical Formulation of Free Dendrite Growth from a Pure Melt 4. Steady State of Dendrite Growth with Zero Surface Tension and Its Regular Perturbation Expansion 5. The Steady State for Dendrite Growth with Nonzero Surface Tension 6. Global Interfacial Wave Instability of Dendrite Growth from a Pure Melt 7. The Effect of Surface Tension Anisotropy and Low-Frequency Instability on Dendrite Growth 8. Three-dimensional Dendrite Growth from Binary Mixtures 9. Viscous Fingering in a Hele-Shaw Cell
SYN 142	Nonlinear Analysis of Physiological Data Kantz, H. Kurths, J. Mayer-Kress, G. 1998	1. Auflage	Springer	I Directions in Nonlinear Data Analysis II Cardio-Respiratory System III EEG Analysis IV Perception and Motor Control V Voice
SYN 143	Pattern Formation in Liquid Crystals Buka, Agnes Kramer, Lorenz 1996	1. Auflage	Springer	1 Introduction to Pattern Formation in Nonequilibrium Systems 2 Hydrodynamics and Electrohydrodynamics of Liquid Crystals 3 General Mathematical Description of Pattern-Forming Instabilities 4 Flow Instabilities in Nematics 5 Experiments on Thermally Driven Convection 6 Electrohydrodynamic Instabilities in Nematic Liquid Crystals 7 Mesophase Growth 8 Viscous Fingering 9 Thermal Fluctuations in Pattern Forming Instabilities
SYN 144	Pattern Formation in Granlar Materials Ristow, Gerald H. 2000	1. Auflage	Springer	1. Introduction 2. Some Experimental Phenomena of Granular Materials 3. Vertical Shaking 4. Horizontal Shaking 5. Stratification 6. Conical Hopper 7. Rotating Drum 8. Concluding Remarks and Outlook
SYN 145	A Perspective Look at Nonlinear Media From Physics to Biology and Social Sciences Parisi, Jürgen Müller, Stefan C. Zimmermann, Walter 1998	1. Auflage	Springer	Quantum Chaos in Rydberg Atoms Crystallization of Electrons and Holes Natural Patterns in Nonequilibrium Systems Linear Aspects of the Faraday Instability On Curved Cellular Flames Nonlinear Flow Behavior and Shear-Induced Structure of Fluids Experimental Study of Horizontally Shaken Granular Matter - The Swelling Effect On Relaxational Granular Compaction From Microscopic to Macroscopic Traffic Models The Modelling Concept of Sociodynamics The Morphogenesis of Dictyostelium Discoideum - Pattern Formation in a Biological Excitable System Path Optimization in Chemical and Biological Systems on the Basis of Excitation Waves BSE Viewed Dynamically: A Possible Early Cure Based on Passive Immunization Against PrPSc Molecular Semiotic Structures in the Cellular Immune System: Key to Dynamics and Spatial Patterning? Molecular Evolutionary Dynamics The Retinal Spreading Depression: A Model for Nonlinear Behavior of the Brain An Analytically Solvable Model of Collective Excitation Patterns in Cortical Tissue Interaction of Meandering Spiral Waves in Active Media Spatiotemporal Patterns in a Passivating Electrochemical System Instabilities of Pollutant Concentrations in the Troposphere Due to Chemical Reactions Hydrodynamic Singularities Disordered Structures Analyzed by the Theory of Markov Processes Transition to Turbulence in Shear Flows Deformation of Charge Density Waves in Quasi-One-Dimensional Semiconductors Visualized by Scanning Electron Microscopy Probing Nonlinear Carrier Transport in Semi- and Superconductors via Low-Temperature Scanning Laser Microscopy Nonlinear Spatiotemporal Emission Dynamics of Broad Area Laser Diodes Gravitational Slowing Down of Clocks Implies Proportional Size Increase
SYN 147	Instabilities in space and laboratory plasmas Melrose, B. D. 1986	1. Auflage	Cambridge University Press	Part I Introduction to plasma theory Part II Instabilities in unagnetized plasmas Part III Collision-dominated magnetized plasmas Part IV Instabilities in magnetized collisionless plasmas
SYN 148	Nonlinear waves, solitons and chaos Infeld, Eryk Rowlands, George 1990	1. Auflage	Cambridge University Press	1 Introduction 2 Linear Waves and instabilities in infinite Media 3 Convective and non-convective instabilities; group velocity in unstable media 4 A first look at surface waves and instabilities 5 Model equations for small amplitude waves and solitons; weakly nonlinear theory 6 Exact methods for fully nonlinear waves 7 Cartesian solitons in one and two space dimensions 8 Evolution and stability of initially one-dimensional waves and solitons 9 Cylindrical and spherical solitons in plasmas and other media 10 Non-coherent phenomena
SYN 149	Numerical Simulation of Unsteady Flows and Transition to Turbulence Proceedings of the ERCOFTAC Workshop held at EPFL, 26-28 March 1990 Lausanne, Swizerland Pironneau, O. Rodi, W. Rhyhming, I. L. Savill, A. M. Truong, T.V. 1992	1. Auflage	Cambridge University Press	Preface Invited Lecture: Developments in Computational Modelling of Turbulence Flows Test Case T1: S-Shaped Duct Test Case T2: Array of Cylinders Invited Lecture: Transition Description and Prediction Test Case T3A, T3B: Free Stream Turbulence Invited Lecture: On Recent Numerical Simulations of Compressible Navier-Stokes Flows Test Cases T4; T5: Confined Axisymmetric Jet
SYN 150	Singular-perturbation theory An introduction with applications Smith, Donald R. o. J.	1. Auflage	Cambridge University Press	Part I Initial-value problems of oscillatory type Part II Initial-value problems of overdamped type Part III Boundary-value problems
SYN 151	Self-Organized Criticality Emergent Complex Behavior in Physical and Biological Systems Jensen, Henrik J. 1998	1. Auflage	Cambridge University Press	1 Introduction 2 Characterization of the SOC State 3 Systems Exhibiting SOC 4 Computer Models 5 The Search for a Formalism 6 Is it SOC or Not?
SYN 152	The Emergence of Complexity in Mathematics, Physics, Chemistry and Biology Proceedings Plenary Session of the Pontificial Academy of Sciences 27-31 October 1992 Pullman, Bernard 1996	1. Auflage	Princeton University Press	Day One - 27 October 1992 Day Two - 28 October 1992 Day Three - 29 October 1992 Day Four - 30 October 1992 Day Five - 31 October 1992
SYN 153	Fluid Dynamics for Physicists Faber, T. E. 1995	1. Auflage	Cambridge University Press	1 A bird's eye view 2 The Euler fluid 3 Gas Dynamics 4 Potential flow 5 Surface waves 6 Viscosity 7 Vorticity 8 Instabilities 9 Turbulence 10 Non-Newtonian fluids
SYN 154	Chaotic Dynamics An introduction Baker, Gregory L. Gollub, Jerry P. 1996	2. Auflage	Cambridge University Press	Chapter One Introduction Chapter Two Some helpful tools Chapter Three Visualization of the pendulum's dynamics Chapter Four Toward an understanding of chaos Chapter Five The characterization of chaotic attractors Chapter Six Experimental characterization, prediction, and modification of chaotic states Chapter Seven Chaos broadly applied
SYN 155	Biochemical Oscillations and Cellular Rhythms The molecular bases of periodic and chaotic behavior Goldbeter, Albert 1996	1. Auflage	Cambridge University Press	Part I Glycolytic oscillations Part II From simple to complex oscillatory behavior Part III Oscillations of cAMP in Dictyostelium cells Part IV From cAMP signaling in Dictyostelium to pulsatile hormone secretion Part V Calcium oscillations Part VI The mitotic oscillator Part VII Circadian rhythms
SYN 156	Turbulence, Coherent Structures, Dynamical Systems and Symmetry Holmes, Philip Lumley, John L. Berkooz, Gal 1996	1. Auflage	Cambridge University Press	1 Introduction 2 Coherent structures 3 Proper orthogonal decomposition 4 Galerkin projection 5 Qualitative theory 6 Symmetry 7 One-dimensional "turbulence" 8 Randomly perturbed systems 9 Low-dimensional models 10 Behavior of the models 11Some other fluid problems 12 Review: prospects for rigor
SYN 157	Incompressible computational fluid dynamics Trends and advances Gunzburger, Max D. Nicolaides, Roy A. 1993	1. Auflage	Cambridge University Press	1 A Few Tools For Turbulence Models In Navier-Stokes Equations 2 On Some Finite Element Methods for the Numerical Simulation of Incompressible Viscous Flow 3 CFD - An Industrial Perspective 4 Stabilized Finite Element Methods 5 Optimal Control and Optimization of Viscous, Incompressible Flows 6 A Fully-Coupled Finite Element Algorithm, Using Direct and Iterative Solvers, for the Incompressible Navier-Stokes Equations 7 Numerical Solution of the Incompressible Navier-Stokes Equations in Primitive Variables on Unstaggered Grids 8 Spectral Element and Lattice Gas Methods for Incompressible Fluid Dynamics 9 Design of Incompressible Flow Solvers: Practical Aspects 10 The Covolume Approach to Computing Incompressible Flows 11 Vortex Methods: An Introduction and Survey of Selected Research Topics 12 New Emerging Methods in Numerical Analysis: Application to Fluid Mechanics 13 The Finite Element Method for Three Dimensional Incompressible Flow 14 A Posteriori Error Estimators and Adaptive Mesh-Refinement Techniques for the Navier-Stokes Equations
SYN 158	Mechanics of swimming and flying Childress, Stephen 1981	1. Auflage	Cambridge University Press	1 General considerations 2 The Stokesian realm: Re << 1 3 Swimming of a sheet 4 The biology of low-Reynolds-number locomotion 5 Resistive-force theory of flagellar propulsion 6 Analysis of the flagellum 7 Ciliary propulsion 8 The Eulerian realm: the inertial force 9 The Eulerian realm: The vortex force 10 The swimming of fish 11 Some aspects of the aerodynamics of birds and insects 12 Interactions
SYN 159	Biological delay systems: linear stability theory MacDonald, N. 1989	1. Auflage	Cambridge University Press	1 How delays arise and what effect they have 2 Ordinary differential equations: the polynominal characteristic equation 3 Functional differential equations: the transcendental characteristic equation 4 Hurwitz polynominals 5 First- and second-order systems with a discrete delay 6 Higher-order systems, and systems with two delays 7 Reducing a discrete delay problem to one with a polynominal characteristic equation 8 Stability independent of delay 9 Distributed delay 10 Reducible delays and linear subsystems
SYN 160	An Introduction to the Modeling of Neural Networks Peretto, Pierre 1992	1. Auflage	Cambridge University Press	1 Introduction 2 The biology of neural networks: a few features for the sake of non-biologists 3 The dynamics of neural networks: a stochastic approach 4 Hebbian models of associative memory 5 Temporal sequences of patterns 6 The Problem of learning in neural networks 7 Learning dynamics in "visible" neural networks 8 Solving the problem of credit assignment 9 Self-organization 10 Neurocomputation 11 Neurocomputers 12 A critical view of the modeling of neural networks
SYN 161	Dynamical Systems Approach to Turbulence Bohr, Thomas Jensen, Mogens H. Paladin, Giovanni Vulpiani, Angelo 1998	1. Auflage	Cambridge University Press	Chapter 1 Turbulence and dynamical systems Chapter 2 Phenomenology of hydrodynamic turbulence Chapter 3 Reduced models for hydrodynamic turbulence Chapter 4 Turbulence and coupled map lattices Chapter 5 Turbulence in the complex Ginzburg-Landau equation Chapter 6 Predictability in high-dimensional systems Chapter 7 Dynamics of interfaces Chapter 8 Langarian chaos Chapter 9 Chaotic diffusion
SYN 162	Plasmaphysik Eine Einführung Kegel, Wilhelm H. 1998	1. Auflage	Springer	1. Einleitung 2. Einzelteilchenbewegung 3. Mikroskopische Plasmabeschreibung 4. Makroskopische Plasmabeschreibung
SYN 163	Applied Dynamics With Applications to Multibody and Mechatronic Systems Moon, Francis C. 1998	1. Auflage	Wiley	1 Dynamic Phenomena and Failures 2 Basic Principles of Dynamics 3 Kinematics 4 Principles of D' Alembert, Virtual Power, and Lagrange's Equations 5 Rigid Body Dynamics 6 Introduction to Robotics and Multibody Dynamics 7 Orbital and Satellite Dynamics 8 Electromechanical Dynamics: an Introduction to Mechatronics 9 Introduction to Nonlinear and Chaotic Dynamics
SYN 164	Chaos An Introduction to Dynamical Systems Alligood, Kathleen T. Sauer, Tim D. Yorke, James A. 1996	1. Auflage	Springer	1 One-Dimensional Maps 2 Two-Dimensional Maps 3 Chaos 4 Fractals 5 Chaos in Two-Dimensional Maps 6 Chaotic Attractors 7 Differential Equations 8 Periodic Orbits and Limit Sets 9 Chaos in Differential Equations 10 Stable Manifolds and Crises 11 Bifurcations 12 Cascades 13 State Reconstruction From Data
SYN 165	Evolution of Spontaneous Structures in Disspative Continuous Systems Busse, Friedrich H. Müller, Stefan C. 1998	1. Auflage	Springer	Mathematical Tools for Pattern Formation Formation of Dynamical Structures in Axisymmetric Fluid Systems Pattern Formation in Binary Fluid Convection and in Systems with Throughflow Dynamical Structures in Open Fluid Systems Theoretical and Experimental Investigations of the Faraday Instability Pattern Formation in an Inhomogeneous Environment Electrically Driven Instabilities in Smectic Liquid Crystal Films Electrohydrodynamic Convection in Nematics Dynamics of Patterns of Chemical Reactions on Surfaces Convection and Pattern Formation Induced by Autocatalytic Reactions Formation of Spatio-Temporal Structures in Semiconductors Formation of Patterns in Granular Materials Spontaneous Generation of Magnetic Fields in the Laboratory From Single Cells to a Multicellular Organism: The Development of the Social Amoebae
SYN 166	Computer Simulation of Dynamic Phenomena Wilkins, Mark L. 1999	1. Auflage	Springer	1. Elements of Fluid Mechanics 2. Numerical Techniques 3. Modeling the Behaviour of Materials 4. Two-Dimensional Elastic-Plastic Flow 5. Sliding Interfaces in Two Dimensions 6. Elastic-Plastic Flow in Three Space Dimensions 7. Sliding Surfaces in Three Dimensions 8. Magnethydrodynamics of HEMP
SYN 167	Fractals, scaling and growth far from equilibrium Meakins, Paul 1998	1. Auflage	Cambridge University Press	Chapter 1 Pattern Formation Far From Equilibrium Chapter 2 Fractals and Scaling Chapter 3 Growth Models Chapter 4 Experimental Studies Chapter 5 The Growth of Surfaces and Interfaces
SYN 168	Nonlinear Systems Techniques and Applications Bendat, Julius S. 1998	1. Auflage	Wiley	1 Linear Systems, Random Data 2 Zero-Memory Nonlinear Systems 3 Direct and Reverse MI/SO Techniques for Analysis and Identification of Nonlinear Systems 4 Parallel Linear and Nonlinear Systems 5 Determination of Physical Parameters with Memory in Nonlinear Systems 6 Nonlinear System Response Properties of a Naval Frigate from Measured Ocean Engineering Data 7 Nonlinear System Response Properties of a Naval Barge from Measured Ocean Engineering Data 8 Bilinear and Trilinear Systems 9 Input/Output Relations for Bilinear and Trilinear Systems
SYN 169	The Mathematics of Financial Derivatives A Student Introduction Wilmott, Paul Howison, Sam Dewynne, Jeff 1995	1. Auflage	Cambridge University Press	Part One: Basic Option Theory Part Two: Numerical Methods Part Three: Further Option Theory Part Four: Interest Rate Derivative Products
SYN 170	Topics in Bifurcation Theory And Applications Iooss, Gérard Adelmeyer, Moritz 1998	2. Auflage	World Scientific	I Center Manifolds, Normal Forms, and Bifurcations of Vector Fields near Critical Points II Couette-Taylor Problem III Center Manifolds, Normal Forms, and Bifurcations of Vector Fields near Closed Orbits
SYN 171	Rayleigh-Bénard Convection Structures and Dynamics Getling, A. V. 1998	1. Auflage	World Scientific	1. Introduction 2. Basic Concepts 3. Investigation Tools 4. Basic Types of Convective-Flow Structures 5. Convection Regimes 6. Selection of the Wavenumbers of Convection Rolls 7. Peculiarities of Stratification and Vertical Structure of Convection 8. Conclusion
SYN 172	Plasmatechnik Grundlagen - Anwendungen - Diagnostik Janzen, Gerd 1992	1. Auflage	Hüthig	1 Einleitung 2 Physikalische Grundlagen des Plasmas 3 Erzeugung eines Plasmas 4 Plasmen in der Technik 5 Diagnostik 6 Anhang
SYN 173	Vom Calculus zum Chaos Acheson, David 1999	1. Auflage	Oldenbourg	1 Einleitung 2 Ein kurzer Überblick über die Infinitesimalrechnung 3 Gewöhnliche Differentialgleichungen 4 Numerische Verfahren 5 Klassische Schwingungen 6 Planetenbewegung 7 Wellen und Diffusion 8 Die bestmögliche Welt? 9 Hydrodynamik 10 Instabilität und Katastrophe 11 Nicht-lineare Oszillationen und Chaos 12 Das verkehrte Pendel
SYN 174	Struktur und Dynamik von Stromfilamenten Hirschinger, Jürgen 1999	1. Auflage	Mainz	1 Einleitung 2 Nichtlinearer Ladungstransport in n-GaAs 3 Experimenteller Aufbau und Probendaten 4 Kennlinien und Lumineszenz 5 Stationäre Filamente in verschiedenen Kontaktanordnungen 6 Stationäre Filamente im Magnetfeld 7 Raumzeitliche Dynamik von Stromfilamenten 8 Strukturen im Mikrowellenfeld 9 Zusammenfassung
SYN 175	Lectures in Synergetics Sugakov, Volodymyr I. 1998	1. Auflage	World Scientific	1 Introduction 2 Mathematical fundamentals of the self-organization 3 Static instabilities 4 Processes of self-oscillations 5 Thermoconcentrational instabilities 6 Spatial structures 7 Auto-waves 8 Stochastic processes
SYN 176	Chaos A Program Collection for the PC Korsch, H. J. Jodl, H. J. 1999	2. Auflage	Springer	1 Overview and Basic Concepts 2 Nonlinear Dynamics and Deterministic Chaos 3 Billiard Systems 4 Gravitational Billiards: The Wedge 5 The Double Pendulum 6 Chaotic Scattering 7 Fermi Acceleration 8 The Duffing Oscillator 9 Feigenbaum Scenario 10 Nonlinear Electronic Circuits 11 Mandelbrot and Julia Sets 12 Ordinary Differential Equations
SYN 177	Nonlinear Dynamics Exploration through Normal Forms Kahn, Peter B. Zarmi, Yair 1998	1. Auflage	Wiley	1 The Text: Its Scope, Style, and Content 2 Basic Concepts 3 Naive Perturbation Theory (NPT) 4 Formalism of Perturbation Expansion 5 Problems with Eigenvalues That Have Negative Real Part 6 Normal Form Expansion for Conservative Planar Systems 7 Dissipative Planar Systems 8 Nonautonomous Oscillatory Systems 9 Problems with a Zero Eigenvalue 10 High-Dimensional Hamiltonian Systems 11 Higher-Dimensional Dissipative Systems
SYN 178	The Illustrated Dictionary of Nonlinear Dynamics and Chaos Kapitaniak, Tomasz Bishop, Steven R. 1999	1. Auflage	Wiley	Preface List of Symbols Alphabetical List of Entries References
SYN 179	Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors Schöll, Eckehard 2001	1. Auflage	Cambridge University Press	Chapter 1 Semiconductors as continuous nonlinear dynamic systems Chapter 2 Concepts of nonlinear charge transport in semiconductors Chapter 3 Pattern formation and oscillatory instabilities in semiconductors Chapter 4 Impact-ionization-induced impurity breakdown Chapter 5 Nonlinear carrier dynamics in crossed electric and magnetic fields Chapter 6 Stationary and oscillating domains in superlattices Chapter 7 Spatio-temporal Chaos
SYN 180	Nonlinear Science at the Dawn of the 21st Century Christiansen, P. L. Sorensen, M. P. Scott, A. C. 2000	1. Auflage	Springer	I Nonlinear Science II Superconductivity and Magnetism III Nonlinear Optics IV Lattice Dynamics and Applications V Biomolecular Dynamics and Biology
SYN 181	Dissipative Structures and Chaos Mori, Hazime Kuramoto, Yoshiki 1998	1. Auflage	Springer	Part I. Dissipative Structures Part II. The Structure and Physics of Chaos
SYN 182	Self-Organization in Activator-Inhibitor-Systems: Semiconductors, Gas-Discharge and Chemical Active Media Contributions to the 157th WE-Heraeus-Seminar, March 4-6, 1996 Engel, H. Niedernostheide, F.-J. Purwins, H.-G. Schöll, E. 1996	1. Auflage (Kopie)	Wissenschaft und Technik	Preface Contents Semiconductors and Gas Discharge Chemical Active Media General Aspects Author Index
SYN 183	Wave Physics Oscillations - Solitons - Chaos Nettel, Stephen 1997	2., korrigierte und erweiterte Auflage	Springer	1. Mathematical Foundation for Wave Physics 2. Oscillations of Mechanical and Electrical Systems 3. Waves on Stretched Strings 4. Electromagnetic Waves 5. Light - Physical Optics, Refraction 6. Wave Mechanics 7. Nonlinear Waves on Water - Solitons 8. Nonlinear Phenomena - Chaos
SYN 184	Numerical Bifurcation Analysis for Reaction-Diffusion Equations Mei, Zhen 2000	1. Auflage	Springer	1. Reaction-Diffusion Equations 2. Continuation Methods 3. Detecting and Computing Bifurcation Points 4. Branch Switching at Simple Bifurcation Points 5. Bifurcation Problems with Symmetry 6. Liapunov-Schmidt Method 7. Center Manifold Theory 8. A Bifurcation Function for Homoclinic Orbits 9. One-Dimensional Reaction-Diffusion Equations 10. Reaction-Diffusion Equations on a Square 11. Normal Forms for Hopf Bifurcations 12.Steady/Steady State Mode Interactions 13. Hopf/Steady State Mode Interactions 14. Homotopy of Boundary Conditions 15. Bifurcations along a Homotopy of BCs 16. A Mode Interaction on a Homotopy of BCs
SYN 185	A Plasma Formulary for Physics, Technology, and Astrophysics Diver, Declan 2001	1. Auflage	Wiley	1 Basic Physical Data 2 Basic Plasma Parameters 3 Discharge Plasmas and Elementary Processes 4 Radiation 5 Kinetic Theory 6 Plasma Transport 7 Plasma Waves 8 Flows 9 Equilibria and Instabilities 10 Mathematics
SYN 186	Coherent Structures in Complex Systems Selected Papers of the XVIII Sitges Conference on Statistical Mechanics. Held at Sitges, Barcelona, Spain, 5-9 June 2000 Preliminary Version Reguera, David Bonilla, Luis López 2001	1. Auflage	Springer	Part I Turbulence Part II Combustion Part III Patterns in Biology, Chemical Reactions and Fluid Flow Part IV Granular Media and Fractures
SYN 187	Plasma Physics Via Computer Simulation Birdsall, C. K. Langdon, A. B. 2000	1. Auflage (3. Reprint)	Institute of Physics Publishing	Part 1 Primer Part 2 Theory Part 3 Practice Part 4 Appendices
SYN 188	Modelisation bidimensionelle fluide d'un ecran a plasma These Cédric Punset 1998 (?)	ohne Auflage	ohne Verlag	I. Introduction II. Generalities: Les ecrans plasma et quelques autres technologies d'ecrans plats III. Principe de fonctionnement des pap alternatifs IV. Modelisation d' une decharge dans un panneau a plasma V. Description du modele bidimensionnel fluide et resultats VI. Bistabilite d'une cellule de ACPDP et marge de fonctionnement VII. Influence du melange gazeux (neon-xenon, helium-neon) et de la geometrie du systeme sur le claquage
SYN 189	Pattern formation outside of equilibrium Cross, M. C. Hohenberg, P. C. 1993	1. Auflage (Kopie)	Reviews of Modern Physics Vol. 65, No. 3 pp.851-1112	I Introduction II Basic Phenomenology III General Features of Pattern Formation IV Theoretical Approaches V Elements of Real Patterns VI Pattern Selection VII Chaos VIII Rayleigh-Bénard Convection IX Other Fluid Systems X Patterns in Chemical Reactions XI Biological Patterns XII Other Systems XIII Conclusions
SYN 190	Pattern Formation and Competition in Nonlinear Optics Arecchi, Tito F. Boccaletti, Stefano Ramazza, Pier L. 1999	1. Auflage (Kopie)	Elsevier	ohne Inhaltsverzeichnis
SYN 191	Principles of Temporal and Spatial Pattern Formation in Electrochemical Systems Krischer, Katharina 1999	1. Auflage (Kopie)	Kluwer	ohne Inhaltsverzeichnis
SYN 192	Nonlinear Dynamics of Surface-Tension-Driven Instabilities Colinet, Pierre Legros, Jean C. Velarde, Manuel G. 2001	1. Auflage	Wiley	1 Introduction 2 Balance equations and boundary conditions 3 Instability modes in Bérnard layers 4 Weakly nonlinear pattern dynamics 5 Weakly nonlinear waves 6 Solitonic and shock-like waves 7 Codimension-two bifurcations 8 Strongly nonlinear regimes
SYN 193	Solitons Properties, Dynamics, Interactions, Applications MacKenzie, R. Paranjape, M. B. Zakrzewski, W. J. 2000	1. Auflage	Springer	1 Berry Phase and Dissipation of Topological Singularities 2 Normal Mode Spectra of Multi-Skyrmions 3 Standard-Model Dirac Particles Trapped in Flat (Noncompact) Higher Dimensions 4 Planar QED in Magnetic or Electric Solitonic Backgrounds 5 Collective Coordinates and Inequivalent Coset Space Quantizations 6 Spatial Solitons of the Nonlinear Schrödinger Equation of Arbitrary Nonlinearity with a Potential Hill 7Hairs on the Unicorn: Fine Structure of Monopoles and Other Solitons 8 A Model for Partially Polarized Quantum Hall States 9 Ordering Dynamics of Topological Defect Networks 10 Gauge Theory Description of Spin Chains and Ladders 11 Soliton Solutions of the Integrable Chiral Model in (2+1) Dimensions 12 String Winding Modes From Charge Nonconservation in Compact Chern-Simons Theory 13 Holes in the Charge Density of Topological Solitons 14 From Two-dimensional Black Holes to sine-Gordon Solitons 15 Solitons and Exciton Superfluidity 16 Quantum Effects on Higgs Winding Configurations 17 Solitons and Their Moduli Spaces 18 Deformed Skyrmions 19 The Large-Nc Renormalization Group 20 Instantons in Nonirreducible Representations of the Lorentz Group 21 Fermion Vacuum effects on Soliton Stability 22 Soliton Solutions of the o-Model and Disoriented Chiral Condensates 23 Dynamics of Topological Magnetic Solutions 24 Fun with Baby-Skyrmions 25 Skyrmions and Domain Walls 26 Fun with Electroweak Solitons 27 Neural and Charged Spin Excitations in the Quantum Hall Ferromagnet 28 Quantum Corrections to Monopoles 29 Nonabelian Dyons 30 Electroweak Baryon Properties in Soliton Models 31 Solitons, Duality, and Supersymmetric Gauge Theories 32 Solitonic Strings and Knots 33 Toward a String Formulation of Vortex Dynamics 34 Domain Walls in a Chern-Simons Theory 35 Microphysics of Gauge Vortices and Baryogenesis 36 On a Dual Standard Model 37 From Skyrmions to the Nucleon-Nucleon Potential 38 Two-dimensional Solitons at Finite Temperature 39 Nontopological Structures in the Baby-Skyrme Model
SYN 195	The World of Patterns Wichmann, Brian 2001	1. Auflage	World Scientific	1 Installation 2 Finding your way around 3 What is in, and what is not 4 Pre-Islamic Art 5 Islamic Art 6 Post-Islamic Art 7 Design your own pattern 8 Patterns with special shapes 9 Quilts 10 Mathematical terms 11 Mathematical conventions 12 Problem corner 13 Finding a pattern 14 Patterns with specific properties 15 Regular polygons 16 Regular star polygons 17 Patterns with one tile 18 Polyominoes 19 Spiral patterns 20 Symmetry groups 21 Use of computers 22 Complete catalogue 23 The contributors 24 Your browser 25 Sources 26 Index
SYN 196	Solitons and Instantons An Introduction to Solitons and Instantons in Quantum Field Theory Rajaraman, J. 1987	1. Auflage	Elsevier	1. Preface cum introduction 2. Classical solitons and solitary waves 3. Monopoles and such 4. Classical instanton solutions 5. Quantization of static solutions 6. Functional integrals and the WKB method 7. Some exact results 8. Collective coordinates and canonical methods 9. Semiclassical methods for Fermi fields 10. Instantons in quantum theory 11. Some more instanton effects
SYN 197	Physics of Dendrites Computational Experiments Galenko, P. K. Zhuravlev, V. A. 1994	1. Auflage	World Scientific	Chapter 1 Introduction to Structure Formation Physics Chapter 2 Dendrite-Grain Structures: Experiment Chapter 3 Crystallization Synergetics Chapter 4 Isotropic Model of Dendrite Crystallization Chapter 5 Anisotropic model of Dentritic Crystallization
SYN 198	Pattern Formation in Continuous and Coupled Systems A Survey Volume Golubitsky, Martin Luss, Dan Strogatz, Steven H. 1999	1. Auflage	Springer	Rayleigh-Bénard convection with rotation at small Prandtl numbers Chaotic intermittency of patterns in symmetric systems Heteroclinic cycles and phase turbulence Hopf bifurcation in anisotropic systems Heteroclinic cycles in symmetrically coupled systems Symmetry and pattern formation in coupled cell networks Spatial hidden symmetries in pattern formation Stability boundaries of the dynamic states in pulsating and cellular flames A quantiative description of the relaxation of textured patterns Forced symmetry breaking: theory and applications Spatiotemporal patterns in electrochemical systems Memory effects and complex patterns in a catalytic surface reaction Bursting mechanisms for hydrodynamical systems Bifurcation from periodic solutions with spatiotemporal symmetry Resonant pattern formation in a spatially extended chemical system Time-dependent pattern formation for two-layer convection Localized structures in pattern-forming systems Pattern formation in a surface reaction with global coupling Dynamical behaviour of patterns with Euclidean symmetry Pattern selection in a diffusion-reaction system with global or long-range interaction Dynamics of kinks and vortices in Josephson-junction arrays Josephson junction arrays: puzzles and prospects
SYN 199	Lightning Physics and Lightning Protection Bazelyan, E. M. Rauzer, Yu. P. 2000	1. Auflage	Institute of Physics Publishing	1 Introduction: lightning, its destructive effects and protection 2 The streamer-leader process in a long spark 3 Available lightning data 4 Physical processes in a lightning discharge 5 Lightning attraction by objects 6 Dangerous lightning effects on modern structures
SYN 200	Waves Called Solitons Concept and Experiments Remoissenet, Michel 2003	3. verbesserte und ergänzte Auflage, 3. Druck	Springer	1 Basic Concepts and the Discovery of Solitons 2 Linear Waves in Electrical Transmission Lines 3 Solitons in Nonlinear Transmission Lines 4 More on Transmission-Line Solitons 5 Hydrodynamic Solitons 6 Mechanical Solitons 7 Fluxons in Josephson Transmission Lines 8 Solitons in Optical Fibers 9 The Soliton Concept in Lattice Dynamics 10 A Look at Some Remarkable Mathematical Techniques 11 Diffusive Solitons
SYN 201	Urgeschichte der Selbstorganisation Zur Archäologie eines wissenschaftlichen Paradigmas Paslack, Rainer 1991	1. Auflage	Vieweg	I Einleitung II Frühe Konzepte der Selbstorganisation III Moderne Konzepte der Selbstorganisation
SYN 202	Order Within Chaos Towards a deterministic approach to turbulence Bergé, Pierre Pomeau, Yves Vidal, Christian 1984	1. Auflage	Hermann	Part One: From Order... Introduction: Nonmonotonic evolution Chapter I Free oscillator - Damped oscillator Chapter II Forced oscillator - Parametric oscillator Chapter III The Fourier transform Chapter IV Poincaré sections Chapter V Three examples of dynamical systems Part Two: ...to Chaos Introduction: temporal chaos in dissipative systems Chapter VI Strange attractors Chapter VII Quasiperiodicity Chapter VIII The subharmonic cascade Chapter IX Intermittency
SYN 203	Fractals in the physical sciences Takayasu, H. 1990	1. Auflage	Machester University Press	1 Introduction to fractals 2 Fractals in nature 3 Fractals on the computer 4 Theoretical models of fractals 5 Mathematical methods for fractals 6 Notes on fractal dimension
SYN 204	Vortices in Nonlinear Fields From Liquid Crystals to Superfluids From Non-Equilibrium Patterns to Cosmic Strings Pismen, L. M. 1999	1. Auflage	Oxford University Press	1 Ordered Media 2 Dissipative Motion 3 Dislocation in Patterns 4 Vortices in Superfluids 5 Motion of Line Vortices 6 Vortices in Superconductors 7 Non-potential and Nonlocal Models 8 Anisotropic Superfluids 9 Relativistic Vortices and Strings
SYN 205	Nonlinear Dynamics Integrability, Chaos and Patterns Lakshmanan, M. Rajasekar, S. 2003	1. Auflage	Springer	1. What is Nonlinearity? 2. Linear and Nonlinear Oscillators 3. Qualitative Features 4. Bifurcations and Onset of Chaos in Dissipative Systems 5. Chaos in Dissipative Nonlinear Oscillators and Criteria for Chaos 6. Chaos in Nonlinear Electronic Circuits 7. Chaos in Conservative Systems 8. Characterization of Regular and Chaotic Motions 9. Further Developments in Chaotic Dynamics 10. Finite Dimensional Integrable Nonlinear Dynamical Systems 11. Linear and Nonlinear Dispersive Waves 12. Korteweg-de Vries Equation and Solitons 13. Basic Soliton Theory of KdV Equation 14. Other Ubiquitous Soliton Equations 15. Spatio-Temporal Patterns 16. Nonlinear Dynamics: From Theory to Technology
SYN 206	Nonlinear Physics with Mathematica for Scientists and Engineers Enns, Richard H. McGuire, George C. 2001	1. Auflage	Birkhäuser	I Theory II Experimental Activities
SYN 207	Nonlinear Science Emergence and Dynamics of Coherent Structures Scott, Alwyn 2003	2. Auflage	Oxford University Press	1 The Birth of a Paradigm 2 Linear Wave Theory 3 The Classical Soliton Equations 4 Reaction-Diffusion Systems 5 Nonlinear Lattices 6 Inverse Scattering Methods 7 Perturbation Theory 8 Quantum Lattice Solitons 9 Looking Ahead
SYN 208	Nonlinear Dynamics in Physiology and Medicine Beuter, Anne Glass, Leon Mackey, Michael C. Titcombe, Michèle S. 2003	1. Auflage	Springer	1 Theoretical Approaches in Physiology 2 Introduction to Dynamics in Nonlinear Difference and Differential Equations 3 Bifurcations Involving Fixed Points and Limit Cycles in Biological Systems 4 Dynamics of Excitable Cells 5 Resetting and Entertaining Biological Rhythms 6 Effects of Noise on Nonlinear Dynamics 7 Reentry in Excitable Media 8 Cell Replication and Control 9 Pupil Light Reflex: Delays and Oscillations 10 Data Analysis and Mathematical Modeling of Human Tremor
SYN 209	Elementary Stability and Bifurcation Theory Ioos, Gérard Joseph, Daniel D. 1990	2. Auflage	Springer	Chapter I Asymptotic Solutions of Evolution Problems Chapter II Bifurcation and Stability of Steady Solutions of Evolution Equations in One Dimension Chapter III Imperfection Theory and Isolated Solutions Which Perturb Bifurcation Chapter IV Stability of Steady Solutions of Evolution Equations in Two Dimensions and n Dimensions Chapter V Bifurcation of Steady Solutions in Two Dimensions and the Stability of the Bifurcating Solutions Chapter IV Methods of Projection for General Problems of Bifurcation into Steady Solutions Chapter VII Bifurcation of Periodic Solutions from Steady Ones (Hopf Bifurcation) in Two Dimensions Chapter VIII Bifurcation of Periodic Solutions in the General Case Chapter IX Subharmonic Bifurcation of Forced T-Periodic Solutions Chapter X Bifurcation of Forced T-Periodic Solutions into Asymptotically Quasi-Periodic Solutions
SYN 210	Modelisation bidimensionelle fluide d'un ecran a plasma These Cédric Punset 1998 (?) Bemerkung: gleiche Arbeit wie SYN 188	ohne Auflage	ohne Verlag	I. Introduction II. Generalities: Les ecrans plasma et quelques autres technologies d'ecrans plats III. Principe de fonctionnement des pap alternatifs IV. Modelisation d' une decharge dans un panneau a plasma V. Description du modele bidimensionnel fluide et resultats VI. Bistabilite d'une cellule de ACPDP et marge de fonctionnement VII. Influence du melange gazeux (neon-xenon, helium-neon) et de la geometrie du systeme sur le claquage
SYN 211	Chaos im Universum Asteroiden und Kometen Fremde Welten Theorien über das Chaos Bublath, Joachim 2001	1. Auflage	Droemer	1. Die Bedrohung aus dem Weltall 2. Die Ordnung des Menschen - eine Illusion? 3. Das Wetter erschüttert ein Weltbild 4. Wie ein Pendel das Bild der Welt verändert 5. Die Theorien der Naturwissenschaftler 6. Die Welt - ein aufregendes Chaos 7. In den Trümmern des Weltbildes 8. Vom Klima, dem El Nino und anderen Unwägbarkeiten 9. Chaos im Planetensystem? 10. Die Überraschung, die in einer Gleichung steckt 11. Ein Hoffnungsstreif im Chaos 12. Der Zwang zur Ordnung 13. Expeditionen in das Wirrwarr 14. Die Vielfalt der Natur - eine Täuschung? 15. An den Grenzen der Naturwissenschaften 16. Die Insel des Lebens - allein im Universum? 17. Der Kontakt mit fremden Welten 18. In Zukunft ohne Naturwissenschaften?
SYN 212	SYNC How Order Emerges from Chaos in the Universe, Nature, and Daily Life Strogaz, Steven 2003	1. Auflage	New York	I Living SYNC II Discovering SYNC III Exploring SYNC
SYN 213	Emergence The Connected Lives of Ants, Brains, Cities, and Software Johnson, Stephen 2001	1. Auflage	Scribner	1 The Myth of the Ant Queen 2 Street Level 3 The Pattern Match 4 Listening to Feedback 5 Control Artist 6 The Mind Readers 7 See What Happens
SYN 214	Hidden Order How Adaptation Builds Complexity Holland, John H. 1995	1. Auflage	Helix	1. Basic Elements 2. Adaptive Agents 3. Echoing Emergence 4. Simulating Echo 5. Toward Theory
SYN 215	Emergence From Chaos to Order Holland, John H. 1998	1. Auflage	Oxford University Press	1. Before We Proceed 2. Games and Numbers 3. Maps, Game Theory, and Computer-Based Modeling 4. Checkers 5. Neural Nets 6. Toward a General Setting 7. Constrained Generating Procedures 8. Samuel's Checkersplayer and Other Models as Cqp's 9. Variation 10. Levels of Description and Reduction 11. Metaphor and Innovation 12. Closing
SYN 216	Complexity The Emerging Science at the Edge of Order and Chaos Waldrop, Mitchell M. 1992	1. Auflage	Simon & Schuster	1. The Irish Idea of a Hero 2. The Revolt of the Old Turks 3. Secrets of the Old One 4. "You Guys Really Believe That?" 5. Master of the Game 6. Life at the Edge of Chaos 7. Peasants Under Glass 8. Waiting for Carnot 9. Work in Progress
SYN 217	The Origins of Order Self-Organization and Selection in Evolution Kauffman, Stuart A. 1993	1. Auflage	Oxford University Press	Part I Adaptation on the Edge of Chaos Part II The Crystallization of Life Part III Order and Ontogeny
SYN 218	Der Flügelschlag des Schmetterlings Ein neues Weltbild durch die Chaosforschung Reinhard Breuer 1993	1. Auflage	Heitkamp	Vorwort Am Rande des Chaos - Einleitung in ein unordentliches Thema Physik zwischen Chaos und Ordnung - von Pendeln und Planeten Fraktale - eine Mathematik komplexer Strukturen Chaos und Geschichte - lässt sich das Weltgeschehen in Formeln fassen? Das Chaos im Kopf - auf den Spuren der Kreativität Gesundheit und Krankheit - wieviel Chaos braucht der Mensch? Chaos-Management - zur Karriere eines Begriffs Die fraktale Fabrik - Produktionskonzept für eine ungewisse Zukunft Chaos in der Stadt - eine neue Theorie krempelt den Urbanismus um Vom Ende der Vernunft - das gesellschaftliche Chaos Chaos, Wissenschaft, Natur und Geist - über die zwei Kulturen
SYN 219	Chaos Eckhardt, Bruno 2004	1. Auflage	Fischer	1 Deterministisches Chaos 2 Mathematisches Pendel 3 Dissipative Systeme 4 Turbulenz 5 Transientes Chaos 6 Lyapunovexponent und Vorhersagbarkeit 7 Wann kann Chaos auftreten? 8 Rekonstruktion und Chaos Detektion 9 Universelle Eigenschaften 10 Wege ins Chaos
SYN 220	At Home in the Universe The Search for the Laws of Self-Organization and Complexity Kauffmann, Stuart 1995	1. Auflage	Oxford University Press	1. At Home in the Universe 2. The Origins of Life 3. We the Expected 4. Order for Free 5. The Mystery of Ontogeny 6. Noah's Vessel 7. The Promised Land 8. High-Country Adventures 9. Organisms and Artifacts 10. An Hour upon the Stage 11. In Search of Excellence 12. An Emerging Global Civilization
SYN 221	Chaos und Ordnung Die komplexe Struktur des Lebendigen Cramer, Friedrich 1989	3. Auflage	Deutsche Verlags-Anstalt	1. Leben - Dynamik zwischen Ordnung und Zerfall 2. Biochemie - Vom Gewinn durch Chaos 3. Gene, Genkarten, Gentherapie - ein Komplexitätsproblem 4. Evolution -Stammbäume und Blitze 5. Mathematische und physikalische Modelle für deterministisches Chaos 6. Die Welt ist harmonisch 7. Urknall - Idee oder Materie? 8. Altern und Sterben - unsere Zeit 9. Fundamentale Komplexität - prinzipielle Grenzen
SYN 222	Das Chaos und seine Ordnung Einführung in komplexe Systeme Greschik, Stefan 1998	1. Auflage	dtv	Vorbemerkungen des Herausgebers Kleine Ursache - große Wirkung Eigenschaften des Chaos Wir leben in einer chaotischen Welt Anhang
SYN 223	Theorie nichtlinearer Netzwerke Mathis, Wolfgang 1987	1. Auflage	Springer	1 Einleitung 2 Grundkonzeptionen 3 Grundlagen der Theorie elektrischer Netzwerke 4 Lineare zeitinvariante Netzwerke 5 Lineare zeitinvariante dynamische Netzwerke 6 Nichtlineare Netzwerke
SYN 224	Chaos Ausführungen zum besseren Verständnis Anregungen zum Nachdenken Ekeland, Ivar 1995	1. Auflage	BLT	Die Mechanik des Zufalls Von Maschinen und Mathematik Anhang
SYN 225	Lawinen Ammann, Walter Buser, Othmar Vollenwyder, Usch 1997	1. Auflage	Birkhäuser	Vorwort Einleitung Lawinen in der Geschichte Schnee - der Stoff, aus dem Lawinen sind Lawinen - einfach kompliziert Das eidgenössische Institut für Schnee- und Lawinenforschung - weltweit anerkannt Schnee- und Lawinenforschung in Davos Mensch und Natur - gegeneinander oder miteinander? Information ist (fast) alles Rettungsmaßnahmen - ein Wettlauf mit der Zeit Anhang: Lawinen - Lebensgefahr! Bibliographie
SYN 226	Synchron Vom rätselhafen Rhythmus der Natur Strogatz, Steven	1. Auflage	Berlin	I Belebter Synchronismus II Die Entdeckung des Synchronismus III Die Erforschung von Synchronismus
SYN 227	SYNC The Emerging Science of Spontaneous Order Strogatz, Steven 2003	1. Auflage	Penguin	I Living SYNC II Discovering SYNC III Exploring SYNC
SYN 228	Nichtlineare Dynamik in der Chemie Münster, Arno F. Schneider, Friedemann W. 1996	1. Auflage	Spektrum	1 Einführung 2 Beschreibung der nichtlinearen Dynamik 3 Chemische Oszillatoren 4 Methoden der Zeitreihenanalyse 5 Chaoskontrolle 6 Getriebene chemische Oszillatoren 7 Gekoppelte chemische Oszillatoren 8 Räumliche chemische Muster
SYN 229	physica status solidi Proceedings 8th International Workshop on Nonlinear Optics and Excitation Kinetics in Seminconductors (NOEKS 8) Münster, Germany, 20-24 February 2006 Kuhn, Tilmann 2006	1. Auflage	Wiley	Quantum dots Spin dynamics Transport and excitation transfer Polaritons in microcavities Photonic and plasmonic crystals Quantum well polaritons Excitations at high densities Excitations in cuprous oxide Excitations in quantum wells and bulk systems Ultrafast phenomena Terahertz phenomena and intersubband dynamics Nanotubes, nanorods, and nanorings
SYN 230	Deterministic Chaos An Introduction Schuster, Heinz Georg 1988	2., verbesserte Auflage	Wiley	1 Experiments and Simple Models 2 Piecewise Linear Maps and Deterministic Chaos 3 Universal Behaviour of Quadratic Maps 4 The Intermittency Route to Chaos 5 Strange Attractors in dissipative Dynamical Systems 6 The Transition from Quasiperiodicity to Chaos 7 Regular and Irregular Motion in Conservative Systems 8 Chaos in Quantum Systems?
SYN 231	Instabilities and Chaos in Quantum Optics Arecchi, Tito F. Harrison, Robert G. 1987	1. Auflage	Springer	Part I Instabilities and Chaos in Active Systems Part II Instabilities and Chaos in Passive Systems
SYN 232	Katastrophentheorie Eine Einführung für Naturwissenschftler Saunders, Peter Timothy 1986	1. Auflage	Vieweg	1 Einleitung 2 Grundlagen 3 Die sieben Elementarkatasthrophen 4 Die Geometrie der sieben Elementarkatastrophen 5 Physikalische Anwendungen 6 Anwendungen in den Sozialwissenschaften 7 Biologische Anwendungen 8 Morphogenese 9 Schlussfolgerungen 10 Aufgaben
SYN 233	Dimensions and Entropies in Chaotic Systems Quantification of Complex Behavior Proceedings of an International Workshop at the Pecos River Ranch, New Mexico, September 11-16, 1985 Mayer-Kress, G. 1998	1. Auflage, 2. korrigierter Druck	Springer	Part I Introduction Part II General Theory, Mathematical Aspects of Dimensions, Basic Problems Part III Numerical and Experimental Problems in the Calculation of Dimensions and Entropies Part IV Computation of Lyapunov Exponents Part V Reliability, Accuracy and Data Requirements of Different Algorithms Part VI Analyzing Spatio-Temporal Chaos Part VII Experimental Results and Applications
SYN 235	Theorie der neuronalen Netze Eine systematische Einführung Rojas, Raúl 1993	1. Auflage	Springer	Einführung Teil I: Vorwärtsgerichtete Netze Teil II: Theoretische Analyse Teil III: Rekursive Netze Teil IV: Selbstorganisation und Neurohardware
SYN 236	Komplexe Strukturen: Entropie und Information Ebeling, Werner Freund, Jan Schweitzer, Frank 1998	1. Auflage	Teubner	1 Komplexität und Entropie 2 Selbstorganisation und Information 3 Informationstheoretische Maße 4 Dynamisch generierte Strukturen 5 Entropie und Komplexität natürlicher Sequenzen 6 Quantitative Ästhetik
SYN 237	Lineare und nichtlineare Schwingungen und Wellen Kneubühl, Fritz K. 1995	1. Auflage	Teubner	1. Einleitung 2. Freie Schwingungen 3. Erzwungene Schwingungen 4. Schwingungen der Systeme 5. Schwingungen von Übertragungssystemen 6. Instabilität und Chaos 7. Lineare Wellen 8. Nichtlineare Wellen 9. Stehende Wellen
SYN 238	Nonlinear Dynamics and Chaos Geometrical Methods for Engineers and Scientists Thompson, J. M. T. Stewart, H. B. 1986	1. Auflage	Wiley	Part I Basic Concepts of Nonlinear Dynamics Part II Iterated Maps as Dynamical Systems Part III Flows, Outstructures, and Chaos Part IV Applications in the Physical Sciences
SYN 239	An Introduction to Chaotic Dynamical Systems Devaney, Robert L. 1989	2. Auflage	Addison-Wesley	Part One: One-Dimensional Dynamics Part Two: Higher Dimensional Dynamics Part Three: Complex Analytic Dynamics
SYN 240	Nonlinear Dynamics and Chaos With Applications to Physics, Biology, Chemistry, and Engineering Strogatz, Steven H. 1995	1. Auflage, 3. Druck	Addison-Wesley	Part I. One-Dimensional Flows Part II. Two-Dimensional Flows Part III. Chaos
SYN 241	Elementary Stability and Bifurcation Theory Iooss, Gérard Joseph, Daniel D. 1990	2. Auflage	Springer	Chapter I Asymptotic Solutions of Evolution Problems Chapter II Bifurcation and Stability of Steady Solutions of Evolution Equations in One Dimension Chapter III Imperfection Theory Chapter IV Stability of Steady Solutions of Evolution Equations in Two Dimensions and n Dimensions Chapter V Bifurcation of Steady Solutions in Two Dimensions and the Stability of the Bifurcating Solutions Chapter VI Methods of Projection for General Problems of Bifurcation into Steady Solutions Chapter VII Bifurcation of Periodic Solutions from Steady Ones (Hopf Bifurcation) in Two Dimensions Chapter VIII Bifurcation of Periodic Solutions in the General Case Chapter IX Subharmonic Bifurcation of Forced T-Periodic Solutions Chapter X Bifurcation of Forced T-Periodic Solutions into Asymptotically Quasi-Periodic Solutions Chapter XI Secondary Subharmonic and Asymptotically Quasi-Periodic Bifurcation of Periodic Solutions (of Hopf's Type) in the Autonomous Case Chapter XII Stability and Bifurcation in Conservative Systems
SYN 242	Stochastic Processes in Physics and Chemistry Van Kampen, N. G. 1981	1. Auflage	North Holland	I Stochastic Variables II Random Events III Stochastic Processes IV Markov Processes V The Master Equation VI One-Step Processes VII Chemical Reactions VIII The Fokker-Planck and Langevin Equations IX The Expansion of the Master Equation X The Diffusion Type XI Unstable Systems XII Fluctuations in Continuous Systems XIII The Statistics of Jump Events XIV Stochastic Differential Equations
SYN 243	Dissipative Structures and Weak Turbulence Manneville, Paul 1990	1. Auflage	Academic Press	Chapter 1. Outlook Chapter 2. Evolution and Stability, Basic Concepts Chapter 3. Instability Mechanisms Chapter 4. Thermal Convection Chapter 5. Low-Dimensional Dynamical Systems Chapter 6. Beyond Periodic Behavior Chapter 7. Characterization of Temporal Chaos Chapter 8. Basics of Pattern Formation in Weakly Confined Systems Chapter 9. Applications of the Envelope Formalism Chapter 10. Dynamics of Textures and Turbulence
SYN 244	Datenanalyse in der Biologie Eine Einführung in Methoden der nichtlinearen Dynamik, fraktalen Geometrie und Informationstheorie Hütt, Marc-Thorsten	1. Auflage	Springer	1. Mathematische Grundlagen 2. Grundbegriffe der nichtlinearen Dynamik 3. Zelluläre Automaten 4. Elemente der nichtlinearen Zeitreihenanalyse 5. Analyse raumzeitlicher Strukturen 6. Selbstähnlichkeit und fraktale Geometrie 7. Methoden aus der Informationstheorie
SYN 245	Chaos and Nonlinear Dynamics An Introduction for Scientists and Engineers Hilborn, Robert C. 2003	2. Auflage	Oxford University Press	I. The Phenomenology of Chaos II. Toward a Theory of Nonlinear Dynamics and Chaos III. Measures of Chaos IV. Special Topics
SYN 246	Noise in Spatially Extended Systems García-Ojalvo, Jordi Sancho, José M. 1999	1. Auflage	Springer	1 Introduction 2 Fundamentals and Tools 3 Noise-Induced Phase Transitions 4 Dynamics of Phase Transitions with Fluctuations 5 Pattern Formation Under Multiplicative Noise 6 Front Dynamics and External Fluctuations 7 Conclusions
SYN 247	Die Erforschung des Chaos Studienbuch für Naturwissenschaftler und Ingenieure Argyris, John Faust, Gunter Haase, Maria 1995	1. Auflage	Vieweg	1 Einführung 2 Hintergrund und Motivation 3 Mathematische Einführung in dynamische Systeme 4 Dynamische Systeme ohne Dissipation 5 Dynamische Systeme mit Dissipation 6 Lokale Bifurkationstheorie 7 Konvektionsströmungen: Bénard-Problem 8 Wege zur Turbulenz 9 Computerexperimente
SYN 248	Dissipative Structures and Chaos Mori, Hazime Kuramoto, Yoshiki 1998	1. Auflage	Springer	Part I Dissipative Structures Part II The Structure and Physics of Chaos
SYN 249	Perspectives of Nonlinear Dynamics Volume I Jackson, Atlee E. 1989	1. Auflage	Oxford University Press	1 In the beginning... 2 A potpourri of basic concepts 3 First order differential systems (n = 1) 4 Models based on first order difference equations 5 Second Order differential systems (n = 2)
SYN 250	Fractals and Disordered Systems Bunde, Armin Havlin, Shlomo 1991	1. Auflage	Springer	1. Fractals and Multifractals: The Interplay of Physics and Geometry 2. Percolation I 3. Percolation II 4. Fractal Growth 5. Fractures 6. Fractal Electrodes, Fractal Membranes, and Fractal Catalysts 7.Fractal Surfaces and Interfaces 8. Fractals and Experiments 9. Cellular Automata 10. Exactly Self-Similar Left-Sided Multifractals
SYN 251	Strukturbildung durch Selbstorganisation in Flüssigkeiten und in chemischen Systemen Bestehorn, Michael 1995	1. Auflage	Harry Deutsch	I Grundlagen II Anwendungen III Numerische Methoden
SYN 252	Chaos and Time-Series Analysis Clinton Sprott, Julien 2003	1. Auflage	Oxford University Press	1 Introduction 2 One-dimensional maps 3 Nonchaotic multi-dimensional flows 4 Dynamical systems theory 5 Lyapunov exponents 6 Strange attractors 7 Bifurcations 8 Hamiltonian chaos 9 Time-series properties 10 Nonlinear prediction and noise reduction 11 Fractals 12 Calculation of the fractal dimension 13 Fractal measure and multifractals 14 Nonchaotic fractal sets 15 Spatiotemporal chaos and complexity
SYN 253	Chaos and Nonlinear Dynamics An Introduction for Scientists and Engineers Hilborn, Robert C. 1994	1. Auflage	Oxford University Press	1. The Phenomenology of Chaos 2. Toward a Theory of Nonlinear Dynamics and Chaos 3. Dynamics in State Space: One and Two Dimensions 4. Three-Dimensional State Space and Chaos 5. Iterated Maps 6. Quasi-Periodicity and Chaos 7. Intermittency and Crises 8.Hamiltonian Systems 9. Quantifying Chaos 10. Many Dimensions and Multifractals 11. Pattern formation and Spatiotemporal Chaos 12. Quantum Chaos, The Theory of Complexity, and Other Topics
SYN 254	Chaos in dissipativen Systemen Leven, Ronald W. Koch, Bernd-Peter Pompe, Bernd 1994	2., überarbeitete und erw. Auflage	Akademie-Verlag	1 Einführung 2 Grundbegriffe 3 Quantitative Charakterisierung chaotischer Bewegungen 4 Universalität auf dem Wege zum Chaos 5 Übergangsphänomene im chaotischen Regime 6 Chaos und homokline Orbits
SYN 255	Synchronization A universal concept in nonlinear sciences Pikovsky, Akardy Rosenblum, Michael Kurths, Jürgen 2001	1. Auflage	Oxford University Press	Chapter 1 Introduction Chapter 2 Basic notions: the self-sustained oscillator and its phase Chapter 3 Synchronization of a periodic oscillator by external force Chapter 4 Synchronization of two and many oscillators Chapter 5 Synchronization of chaotic systems Chapter 6 Detecting synchronization in experiments Chapter 7 Synchronization of periodic oscillators by periodic external action Chapter 8 Mutual synchronization of two interacting periodic oscillators Chapter 9 Synchronization in the presence of noise Chapter 10 Phase synchronization of chaotic systems Chapter 11 Synchronization in oscillatory media Chapter 12 Populations of globally coupled oscillators Chapter 13 Complete synchronization I: basic concepts Chapter 14 Complete synchronization II: generalizations and complex systems Chapter 15 Synchronization of complex dynamics by external forces
SYN 256	The Self-Made Tapestry Pattern formation in nature Ball, Philip 1999	1. Auflage	Oxford University Press	1 Patterns 2 Bubbles 3 Waves 4 Bodies 5 Branches 6 Breakdowns 7 Fluids 8 Grains 9 Communities 10 Principles
SYN 257	Wave Physics Oscillations - Soltons - Chaos Nettel, Stephen 1997	2., korrigierte und erw. Auflage Korrigierter Druck	Springer	1. Mathematical Foundation for Wave Physics 2. Oscillations of Mechanical and Electrical Systems 3. Waves on Stretched Strings 4. Electromagnetic Waves 5. Light-Physical Optics, Refraction 6. Wave Mechanics 7. Nonlinear Waves on Water - Solitons 8. Nonlinear Phenomena - Chaos
SYN 258	Mathematik der Selbstorganisation Qualitative Theorie nichtlinearer dynamischer Systeme und gleichgewichtsferner Strukturen in Physik, Chemie und Biologie Jetschke, Gottfried 1989	1. Auflage	Harry Deutsch	Einführung 1. Deterministische dynamische Systeme 2. Systeme mit einem Freiheitsgrad 3. Systeme mit zwei Freiheitsgraden 4. Systeme mit mehr als zwei Freiheitsgraden 5. Chaotische Attraktoren 6. Bifurkationstheorie 7. Katasthrophentheorie 8. Reaktions-Diffusions-Systeme 9. Stochastische dynamische Systeme 10. Stochastische Differentialgleichungen 11. Geburts- und Todesprozesse 12. Zeitdiskrete Systeme mit Rauschen 13. Stochastische partielle Differentialgleichungen
SYN 259	Chaos und Herzdynamik Rekonstruktionen und Charakterisierung seltsamer Attraktoren aus skalaren chaotischen Zeitreihen Liebert, Wolfgang 1991	1. Auflage	Harry Deutsch	1 Einführung 2 Rekonstruktion seltsamer Attraktoren aus skalaren Zeitreihen 3 Charakterisierung seltsamer Attraktoren aus skalaren Zeitreihen 4 Anwendung auf die Herzdynamik 5 Zusammenfassung und Ausblick
SYN 260	The Physics of Vibrations and Waves Pain, H. J. 1999	5. Auflage	Wiley	1 Simple Harmonic Motion 2 Damped Simple Harmonic Motion 3 The Forced Oscillator 4 Coupled Oscillations 5 Transverse Wave Motion 6 Longitudinal Waves 7 Waves on Transmission Lines 8 Electromagnetic Waves 9 Waves in More than One Dimension 10 Fourier Methods 12 Interference and Diffraction 13 Wave Mechanics 14 Non-linear Oscillations and Chaos 15 Non-linear Waves, Shocks and Solitons
SYN 261	Spatial Hysteresis and Optical Patterns Rosanov, Nikolay N. 2002	1. Auflage	Springer	1. Introduction to the Physics of Distributed Bistable Systems 2. Increasing Absorption Bistability 3. Hybrid Bistable Devices 4. Driven Nonlinear Interferometers 5. Nonlinear Radiation Reflection 6. Bistable Laser Schemes 7. Conclusion: Comparing Different Types of Optical Patterns
SYN 263	Chemical Waves and Patterns Kapral, Raymond Showalter, Kenneth 1995	1. Auflage	Kluwer	Part One. Spiral Waves Part Two. Turing and Turing-like Patterns Part Three. Chemical Wave Dynamics Part Four. Fluctuations and Chemical Waves
SYN 264	Deterministisches Chaos Eine Einführung Schuster, Heinz Georg 1994	1. Auflage	VCH	1 Experimente und einfache Modelle 2 Stückweise lineare Abbildungen 3 Universelles Verhalten quadratischer Abbildungen 4 Die Intermittenzroute zum Chaos 5 Seltsame Attraktoren in dissipativen dynamischen Systemen 6 Der Übergang von Quasiperiodizität zum Chaos 7 Reguläre und irreguläre Bewegung in konservativen Systemen 8 Chaos in Quantensystemen? 9 Die Kontrolle von Chaos
SYN 265	Plasmaphysik und Fusionsforschung Kaufmann, Michael 2003	1. Auflage	Teubner	1 Einleitung 2 Atomare Prozesse 3 Einzelteilchenbeschreibung 4 Statistische Beschreibung 5 Magnethydrodynamische Gleichungen 6 Magnetischer Einschluss: Lineare Gleichgewichte 7 Der toroidale Einschluss 8 Der Einschluss im Teilchenbild 9 Wellen in homogenen Plasmen 10 Wellen und Instabilitäten in inhomogenen Plasmen 11 Der Plasmarand 12 Fusion als Energiequelle
SYN 500	Nonlinear Dynamics and Chaos With Applications to Physics, Biology, Chemistry, and Engineering Strogatz, Steven H. 1994	1. Auflage	Westview	Part I. One-Dimensional Flows Part II. Two-Dimensional Flows Part III. Chaos
SYN 262	An Introduction to Nonlinear Chemical Dynamics Oscillations, Waves, Patterns, and Chaos 1998	1. Auflage	Oxford University Press	Part 1: Overview Part 2: Special Topics
SYN 501	Encyclopidia of Nonlinear Science Scott, Alwyn 2005	1. Auflage	Routledge	Introduction Editorial Advisory Board List of Contributors List of Entries Thematic List of Entries Entries A to Z Index
SYN 502	Waves Called Solitons Concepts and Experiments Remoissenet, Michel 2003	3., verbesserte und erw. Auflage Korrigierter Druck	Springer	1 Basic Concepts and the Discovery of Solitons 2 Linear Waves in Electrical Transmission Lines 3 Solitons in Nonlinear Transmission Lines 4 More on Transmission-Line Solitons 5 Hydrodynamic Solitons 6 Mechanical Solitons 7 Fluxons in Josephson Transmission Lines 8 Solitons in Optical Fibers 9 The Soliton Concept in Lattice Dynamics 10 A Look at Some Remarkable Mathematical Techniques 11 Diffusive Solitons
SYN 503	Optical Solitons in Fibres Hasegawa, A. Matsumoto, M. 2003	3., überarbeitete und erweiterte Auflage	Springer	1. Introduction 2. Wave Motion 3. Lightwave in Fibers 4. Information Transfer in Optical Fibers and Evolution of the Lightwave Packet 5. Optical Solitons in Fibers 6. All-Optical Soliton Transmission Systems 7. Control of Optical Solitons 8. Influence of Higher-Order Terms 9. Polarization Effects 10. Dispersion-Managed Solitons (DMS) 11. Application of DMS for Single-Channel Ultra-High Speed Transmissions 12. Application of Dispersion Managed Solitons for WDM Transmission 13. Other Applications of Optical Solitons
SYN 504	Physics of Solitons Dauxois, Thierry Peyrard, Michel 2006	1. Auflage	Cambridge University Press	Part I Different classes of solitons Part II Mathematical methods for the study of solitons Part III Examples in solid state and atomic physics Part IV Nonlinear excitations in biological molecules Part V Appendices
SYN 266	Modern Thermodynamics From Heat Engines to Dissipative Structures Kondepudi, Dilip Prigogine, Ilya 1998	1. Auflage	Wiley	Part I Historical Roots: From Heat Engines to Cosmology Part II Equilibrium Thermodynamics Part III Fluctuations and Stability Part IV Linear Nonequilibrium Thermodynamics Part V Order Through Fluctuations
SYN 267	Self-Organization in Biological Systems Camazine, Scott Deneubourg, Jean-Louis Franks, Nigel R. Sneyd, James Theraulaz, Guy Bonabeau, Eric 2003	1. Auflage	Princeton University Press	Part I Introduction to Biological Self-Organization Part II Case Studies Part III Conclusions
SYN 268	Synchronization in Complex Networks of Nonlinear Dynamical Systems Wu, Chai Wah 2007	1. Auflage	World Scientific	1. Introduction 2. Graphs, Networks, Laplacian Matrices and Algebraic Connectivity 3. Graph Models 4. Synachronization in Networks of Nonlinear Continuous-time Dynamical Systems 5. Synchronization in Networks of Coupled Discrete-time Systems 6. Synchronization of Coupled Scalar Maps via Contractility of Operators 7. Agreement and Consensus Problems in Groups of Interacting Agents
SYN 269	Nonlinear Time Series Analysis Kantz, Holger Schreiber, Thomas 2003	2. Auflage	Cambridge University Press	I Basic topics II Advanced topics
SYN 270	Probability Theory The Logic of Science Jaynes, E. T. 2003	1. Auflage, 5., korrigierter Druck	Cambridge University Press	Part I Principles and elementary applications Part II Advanced applications
SYN 271	Wolfram, Stephen A New Kind of Science 2002	1. Auflage	Wolfram Media	1 The Foundations for a New Kind of Science 2 The Crucial Experiment 3 The World of Simple Programs 4 Systems Based on Numbers 5 Two Dimensions and Beyond 6 Starting from Randomness 7 Mechanisms in Programs and Nature 8 Implications for Everyday Systems 9 Fundamental Physics 10 Processes of Perception and Analysis 11 The Notion of Computation 12 The Principle of Computational Equivalence
SYN 272	Statistical Mechanics Entropy, Order Parameters, and Complexity Sethna, James P. 2006	1. Auflage	Oxford University Press	1 What is statistical mechanics? 2 Random walks and emergent properties 3 Temperature and equilibrium 4 Phase-space dynamics and ergodicity 5 Entropy 6 Free energies 7 Quantum statistical mechanics 8 Calculation and computation 9 Order parameters, broken symmetry, and topology 10 Correlations, response, and dissipation 11 Abrupt phase transitions 12 Continuous phase transitions
SYN 273	Financial Market Complexity Johnson, Neil F. Jefferies, Paul Hui, Pak Ming 2003	1. Auflage	Oxford University Press	1. Financial markets as complex systems 2. Standard finance theory 3. A complex walk down Wall Street 4. Financial market models with global interactions 5. Financial market models with local interaction 6. Non-zero risk in the real world 7. Deterministic dynamics, chaos, and crashes
SYN 274	Random Processes in Physics and Finance Lax, Melvin Cai, Wie Xu, Min 2006	1. Auflage	Oxford University Press	1 Review of probability 2 What is a random process 3 Examples of Markovian processes 4 Spectral measurement and correlation 5 Thermal noise 6 Shot noise 7 The fluctuation-dissipation theorem 8 Generalized Fokker-Planck equation 9 Langevin processes 10 Langevin treatment of the Fokker-Planck process 11 The rotating wave van der Pol oscillator (RWVP) 12 Noise in homogeneous semiconductors 13 Random walk of light in turbid media 14 Analytical solution of the eclastic transport equation 15 Signal extraction in presence of smoothing and noise 16 Stochastic methods in investment decision 17 Spectral analysis of economic time series
SYN 275	Virus dynamics Mathematical principles of immunology and virology Nowak, Martin A. May, Robert M. 2000	1. Auflage	Oxford University Press	1 Introduction: viruses, immunity, equations 2 HIV 3 The basic model of virus dynamics 4 Anti-viral drug therapy 5 Dynamics of hepatitis B virus 6 Dynamics of immune responses 7 How fast do immune responses eliminate infected cells? 8 What is a quasispecies? 9 The frequency of resistant mutant virus before anti-viral therapy 10 Emergence of drug resistance 11 Timing the emergence of resistance 12 Simple antigenic variation 13 advanced antigenic variation 14 Multiple epitopes 15 Everything we know so far and beyond
SYN 276	Scale-Free Networks Complex Webs in Nature and Technology Caldarelli, Guido 2007	1. Auflage	Oxford university Press	1. Introduction to graphs 2. Graph structures: communities 3. Scale-invariance 4. The origin of power-law functions 5. Graph generating models 6. Networks in the cell 7. Geophysical networks 8. Ecological networks 9. Technological networks: Internet and WWW 10. Social and cognitive networks 11. Financial networks
SYN 277	Theory of Neural Information Processing Systems Coolen, A. C. C. Kühn, R. Sollich, P. 2005	1. Auflage	Oxford University Press	Part I Introduction to neural networks Part II Advanced neural networks Part III Information theory and neural networks Part IV Macroscopic operation: macroscopic dynamics Part V Equilibrium statistical mechanics of neural networks
SYN 278	Data Analysis A Bayesian Tutorial Sivia, D. S. Skilling, J. 2006	2. Auflage	Oxford University Press	Part I The Essentials Part II Advanced Topics
SYN 279	The Self-Made Tapestry Pattern formation in nature Ball, Philip 1999	1. Auflage	Oxford University Press	1 Patterns 2 Bubbles 3 Waves 4 Bodies 5 Branches 6 Breakdowns 7 Fluids 8 Grains 9 Communities 10 Principles
SYN 280	Nonlinear Science: The next Decade Campbell, David K. Ecke, Robert E. Hyman, James M. 1991	1. Auflage	Bradford	Chapter 1. Deterministic chaos and nonlinear dynamics Chapter 2. Solitons and coherent structures Chapter 3. Patterns and turbulence
SYN 281	The Future of Complexity Conceiving a Better Way to Understand Order and Chaos Baofu, Peter 2007	1. Auflage	World Scientific	Part One: Introduction Part Two: Nature Part Three: The Mind Part Four: Society Part Five: Culture Part Six: Conclusion
SYN 283	Extreme Events in Nature and Society Albeverio, Sergio Jentsch, Volker Kantz, Holger 2006	1. Auflage	Springer	Part I General Considerations Part II Scenarios Part III Prevention, Precaution, and Avoidance