Publications 2002-2004
2002
MS-TP-02-5
J. Gradisek, R. Friedrich, E. Govekar, I. Grabec:
Analysis of data from periodically forced stochastic processes
Phys. Letters A 294 (2002) 234
MS-TP-02-6
R. Friedrich, Ch. Renner, M. Siefert, J. Peinke:
Comment on "Indispensable Finite Time Correlations for Fokker-Planck Equations from Time Series Data"
physics/0203005
Phys. Rev. Letters 89 (2002) 149401
MS-TP-02-7
R. Friedrich:
Lagrangian probability distributions of turbulent flows
physics/0207015
MS-TP-02-11
T.D. Frank:
Generalized Fokker-Planck equations derived from generalized linear nonequilibrium thermodynamics
Physica A 310 (2002) 397
MS-TP-02-12
T.D. Frank:
Multivariate Markov processes for stochastic systems with delays
Phys. Rev. E 66 (2002) 011914
MS-TP-02-14
J. Gradisek, I. Grabec, S. Siegert, R. Friedrich:
Stochastic dynamics of metal cutting: Bifurcation phenomena in turning
Mechanical Systems and Signal Processing 16 (2002) 831
MS-TP-02-15
J. Gradisek, S. Siegert, R. Friedrich. I. Grabec:
Qualitative and quantitative analysis of stochastic processes based on measured data-I. Theory and applications to synthetic data
Journal of Sound and Vibration 252 (2002) 545
MS-TP-02-16
Ch. Renner, J. Peinke, R. Friedrich, O. Chanal, B. Chabaud:
Universality of small scale turbulence
Phys. Rev. Letters 89 (2002) 124502
MS-TP-02-17
J. Peinke, Ch. Renner, R. Friedrich:
Turbulence and financial market data analyzed with respect to their scale dependent complexity
in: "Complexity from microscopic to macroscopic scales: coherence and large deviations", Ed. A.T. Skjeltorp and T. Vicsek, Kluwer Academic Publishers, 2002, p. 151-169
MS-TP-02-18
R. Friedrich:
Statistics of Lagrangian velocities in turbulent flows
Phys. Rev. Letters 90 (2003) 084501
MS-TP-02-20
R. Friedrich, A. Baule:
Lagrangian particle statistics in turbulence
Nonlinear phenomena in complex systems 5 (2002) 342
MS-TP-02-21
T.D. Frank:
On a general link between anomalous diffusion and nonextensivity
J. Math. Phys. 43 (2002) 344
MS-TP-02-22
T.D. Frank:
Interpretation of Lagrange multipliers of generalized maximum-entropy distributions
Phys. Letters A 299 (2002) 153
MS-TP-02-23
T.D. Frank, A. Daffertshofer, P.J. Beek:
Impacts of statistical feedback on the flexibility-accuracy trade-off of biological systems
J. Biol. Phys. 28 (2002) 39
MS-TP-02-24
T.D. Frank:
Stability analysis of mean field models described by Fokker-Planck equations
Annalen der Physik 11 (2002) 707
MS-TP-02-25
T.D. Frank:
Generalized multivariate Fokker-Planck equations derived from kinetic transport theory and linear nonequilibrium thermodynamics
Phys. Letters A 305 (2002) 150
MS-TP-02-26
T.D. Frank:
On a mean field Haken-Kelso-Bunz model and a free energy approach to relaxation processes
Nonlinear phenomena in complex systems 5 (2002) 332
MS-TP-02-27
T.D. Frank:
A note on the Markov property of stochastic processes described by nonlinear Fokker-Planck equations
Physica A 320 (2003) 204
MS-TP-02-28
T.D. Frank, A.R. Plastino:
Generalized thermostatistics based on the Sharma-Mittal entropy and escort mean values
Eur. Phys. J. B 30 (2002) 543
2003
MS-TP-03-15
H.U. Bödeker, M.C. Röttger, A.W. Liehr, T.D. Frank, R. Friedrich, H.G. Purwins:
Noise-covered drift bifurcation of dissipative solitons in a planar gas-discharge system
Phys. Rev. E 67 (2003) 056220
MS-TP-03-16
A.W. Liehr, H.U. Bödeker, M.C. Röttger, T.D. Frank, R. Friedrich, H.G. Purwins:
Drift-bifurcation detection for dissipative solitons
New J. Phys. 5 (2003) 89.1-89.9
MS-TP-03-17
T.D. Frank, P.J. Beek, R. Friedrich:
Fokker-Planck perspective on stochastic delay systems: exact solutions and data analysis of biological systems
Phys. Rev. E 68 (2003) 021912
MS-TP-03-18
M. Siefert, A. Kittel, R. Friedrich, J. Peinke:
On a quantitative method to analyse dynamical and measurement noise
Europhysics Letters 61 (2003) 466-472
MS-TP-03-19
J. Gradisek, R. Friedrich, E. Govekar, I. Grabec:
Examples of anaysis of stochastic processes based on time series data
Meccanica 38 (2003) 33-42
MS-TP-03-21
T.D. Frank:
On the second variation of free energies and nonlinear Fokker-Planck equations involving periodic variables
Prog. Theor. Phys. Supp. 150 (2003) 48-56
MS-TP-03-22
T.D. Frank, P.J. Beek:
A mean field approach to self-organziation in spatially extended perception-action and psychological systems
in: W. Tschacher and J. P. Dauwalder ''The dynamical systems approach to cognition'' (World Scientific, Singapore, 2003) 159-179
MS-TP-03-24
T.D. Frank:
A Markov approach to nonlinear multivariate delay systems with noise
Physica Scripta 68 (2003) 333-336
MS-TP-03-25
T.D. Frank:
On the boundedness of free energy functionals
Nonlinear Phenomena in Complex Systems 6(3) (2003) 696-704
MS-TP-03-26
T.D. Frank:
Single particle dynamics of many-body systems described by Vlasov-Fokker-Planck equations
Phys. Letters A 319 (2003) 173-180
2004
MS-TP-04-6
T. D. Frank:
Stochastic feedback, nonlinear families of Markov processes, and nonlinear Fokker-Planck equations
Physica A 331 (2004) 391-408
MS-TP-04-7
T. D. Frank:
Stability analysis of stationary states of mean field models described by Fokker-Planck equations
Physica D 189 (2004) 199-218
MS-TP-04-8
T. D. Frank:
Classical Langevin equations for the free electron gas and blackbody radiation
J. Phys. A 37 (2004) 3561-3567
MS-TP-04-9
T. D. Frank:
Autocorrelation functions of nonlinear Fokker-Planck equations
Eur. Phys. Journal B 37 (2004) 139-142
MS-TP-04-15
T. D. Frank:
Stability analysis of nonequilibrium mean field models by means of self-consistency equations
Phys. Lett. A 327 (2004) 146-151
MS-TP-04-16
T. D. Frank:
Asymptotic properties of nonlinear diffusion, nonlinear drift-diffusion, and nonlinear reaction-diffusion equations
Annalen der Physik 13 (2004) 461-469
MS-TP-04-17
H. U. Bödeker, A. W. Liehr, M. C. Röttger, T. D. Frank, R. Friedrich, H. G. Purwins:
Measuring the interaction law of dissipative solitons
New J. Phys. 6 (2004) 62.1-62.18
MS-TP-04-18
T. D. Frank:
Analytical results for fundamental time-delayed feedback systems subjected to multiplicative noise
Phys. Rev. E 69 (2004) 061104
MS-TP-04-19
T. D. Frank, P. J. Beek, R. Friedrich:
Identifying noise sources of time-delayed feedback systems
Phys. Lett. A 328 (2004) 219-224
MS-TP-04-20
T. D. Frank:
On a nonlinear master equation and the Haken-Kelso-Bunz model
J. Biol. Phys. 30 (2004) 139-159
MS-TP-04-28
T. D. Frank:
Complete description of a generalized Ornstein-Uhlenbeck process related to the nonextensive Gaussian entropy
Physica A 340 (2004) 251-256
MS-TP-04-29
T. D. Frank:
Dynamic mean field models: H-theorem for stochastic processes and basins of attraction of stationary processes
Physica D 195 (2004) 229-243
MS-TP-04-30
T. D. Frank:
Fluctuation-dissipation theorems for nonlinear Fokker-Planck equations of the Desai-Zwanzig type and Vlasov-Fokker-Planck equations
Phys. Lett. A 329 (2004) 475-485
MS-TP-04-32
A. Baule, R. Friedrich:
Joint probability distributions for a class of non-Markovian processes
physics/0411179
MS-TP-04-33
M. Wächter, A. Kouzmitchev, J. Peinke:
Increment definition for scale-dependent analysis of stochastic data
Phys. Rev. E 70 (2004) 055103
MS-TP-04-34
G. Radons, T. Ditzinger, R. Friedrich, A. Henning, A. Kouzmitchev, E. Westkämper:
Nonlinear dynamics and control of ripple formation in abrasive water-jet cutting
in: "Nonlinear dynamics of production systems", Eds. G. Radons, R. Neugebauer, Wiley-VCH, 2004
MS-TP-04-35
J. Peinke, M. Seifert, F. Böttcher, R. Friedrich:
Turbulenzen und Finanzmarkt
Einblicke, Universität Oldenburg, 39 (2004) 18
MS-TP-04-36
R. Friedrich:
Group theoretic methods in the theory of pattern formation
in: "Collective dynamics of nonlinear and disordered systems", Eds. G. Radons, W. Just, P. Häussler, Springer, Berlin, 2004
MS-TP-04-37
R. Friedrich, T. Kuhn, S.J. Linz:
Nonlinear structures in dissipative systems
Annalen der Physik 13 (2004) 375-377
MS-TP-04-38
J. Peinke, M. Siefert, S. Barth, C. Renner, F. Riess, M. Wächter, R. Friedrich:
Advances in solid state physics
(Springer, Berlin, 2004)