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DY: Fachverband Dynamik und Statistische Physik

DY 15: Pattern Formation

DY 15.8: Vortrag

Dienstag, 2. April 2019, 12:00–12:15, H3

Transition to Chaos: From Small to Large Domains in the Nikolaevskiy Model — •Simon Hartmann, Steffen Richters-Finger, and Stefan J. Linz — Institut für Theoretische Physik, Westfälische Wilhelms-Universität, Wilhelm-Klemm-Straße 9, 48149 Münster

We investigate the dynamics and the transition to spatiotemporal chaos observed in the partial differential equation known as Nikolaevskiy equation in one and two spatial dimensions while applying periodic boundary conditions. In contrast to the generic chaotic solution in large domains, the model exhibits rich possibilities for different chaotic and non-chaotic dynamics if the considered domain size is constrained to only a few characteristic wavelengths. Extending the work by Tanaka [1], we provide an in-depth numerical analysis including maps of several parameter subspaces and results from the numerical continuation of many types of regular dynamics.

[1] Tanaka D., J. Phys. Soc. Jpn., 74, 2223 (2005).