Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 35: Reaction-Diffusion Systems

DY 35.4: Talk

Thursday, April 3, 2014, 15:45–16:00, HÜL 186

Turing instability in a scalar reaction-diffusion system with delay — •Andreas Otto, Jian Wang, and Günter Radons — Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany

The existence of diffusion-driven instabilities in scalar systems with time-delay is studied. The so-called Turing instability occurs if the homogeneous steady state of a system is stable in the absence of diffusion but unstable when diffusion is present. As a result spatially inhomogeneous states emerge, which are a subject of current research in physics, biology and chemistry.

To the authors knowledge until now the occurrence of a Turing instability is only known to exist for multi-component systems. In scalar reaction-diffusion systems without or with only one constant delay a Turing instability is not possible. However, diffusion-driven instabilities exist in one component reaction diffusion systems with distributed and/or time-varying delay, which is the topic of this talk.