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DY: Fachverband Dynamik und Statistische Physik

DY 41: Poster - Pattern/ Nonlinear Dyn./ Fluids/ Granular/ Critical Phen.

DY 41.18: Poster

Donnerstag, 3. April 2014, 17:00–19:00, P3

Dynamics of Bound States in a real-valued Swift-Hohenberg Equation induced by Delayed Feedback — •Felix Tabbert and Svetlana Gurevich — Institut für theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Straße 9, 48149 Münster

We are interested in the stability-properties of stationary bound state solutions of the real-valued Swift-Hohenberg Equation, subjected to time-delayed feedback. We show that the change in delay-time and delay-strength leads to various dynamical solutions including the formation of travelling waves, labyrinth-like patterns, as well as moving and rotating bound states.

We provide a linear stability analysis of the delayed system and obtain an analytical expression for the delay-induced instability-threshold. Numerical calculations are also carried out, showing good agreement with the analytical predictions.