Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Pattern Formation / Reaction-Diffusion I

DY 24.5: Talk

Tuesday, March 21, 2017, 15:30–15:45, ZEU 147

Transition to chaos: From small to large systems in the Nikolaevskiy model — •Steffen Finger and Stefan Jakob Linz — Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster

The Nikolaevskiy equation originally introduced as a model for seismic waves [1] also appears in many different contexts ranging from instabilities of fronts over electroconvection to reaction-diffusion-systems and serves as a paradigmatic minimal model for the appearance of soft-mode turbulence in most parameter ranges. Extending the work by Tanaka [2] and using numerical simulations and Lyapunov exponent methods, we detect and classify the highly elaborate scenario of different transitions from regular dynamics to spatiotemporal chaos that appears when the system size is varied and periodic boundary conditions are applied.

[1] V. N. Nikolaevskii, Lecture Notes in Engineering 39, 210 (1989). [2] D. Tanaka, J. Phys. Soc. Jpn. 74, 2223 (2005).