Regensburg 2013 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Poster II

DY 33.29: Poster

Thursday, March 14, 2013, 17:00–19:00, Poster C

Turing instability in one-component reaction-diffusion systems with fluctuating delay — •Jian Wang and Günter Radons — Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany

Delay systems used to model retarded actions are relevant in many fields such as optics, mechanical machining, biology or physiology. A frequently encountered situation is that the length of the delay time changes with time. With the presence of fluctuating delay the system dynamics becomes more complex, and sometimes some new phenomena can be obtained. In this study the delay is introduced into the reaction term of the KPP-Fisher-equation. It will be shown, that with a fluctuating delay the Turing instability, which in general is present in more-components systems, can also be obtained in one-component reaction-diffusion systems. The Lyapunov exponents in dependence on spatial perturbations is calculated. The structure and the related spectrum are characterized to prove this phenomenon.