Lecture: Introduction to nonlinear physics


 Time, Place:

Tuesday 8:00 - 10:00, AP SR 222


Prof. Dr. Sergej Demokritov




Nonlinear effects we encounter in everyday life and in nature all the time. Particularly fascinating examples are water waves and hydrodynamic phenomena such as mixing and turbulence, cloud formation or morphogenesis, but also collective phenomena such as flocking, neural network structures and group dynamics are part of the field of nonlinear physics. They arise in many physical, chemical, biological and social systems that are due to energy or information flow away from thermodynamic equilibrium. Many of them are found in nature, but they have considerable industrial importance. The formation of self-organized structures is characterized by an interplay of nonlinearity and dispersion and / or dissipation processes. Research activities in the field of "nonlinear physics," try´s both to understand the sometimes complex processes in specific systems quantitatively and a to get a basic and higher-level access to the developing behind the diversity of individual phenomena related principles. The course is based on selected experiments and their discussion, an introduction to important phenomena and concepts of nonlinear physics. The addressed topics include the classification of stationary, oscillatory and chaotic behavior in systems with few degrees of freedom, the spontaneous formation of structures in spatially extended systems, and nonlinear wave phenomena and solitons. In addition to many examples from biology, physics and social sciences a priority in the last part lecture on nonlinear optics and magnetism will be.


S. Strogatz: Nonlinear Dynamics and Chaos Chaos.Perseus Books 2000

H.-G. Schuster, W. Just: Deterministic Chaos. Wiley VCH, 2005

G. Nicolis: Introduction to Nonlinear Science. Cambridge University Press, 1995

M. Remoissenet: Waves called solitons solitons. Springer Verlag 1999

G. Jetschke: Mathematik der Selbstoganisation. Vieweg 1989


Oral exam

Examination subjects


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