Dresden 2006 – scientific programme

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.39: Poster

Thursday, March 30, 2006, 16:00–18:00, P1

Possible destabilizations of stationary dissipative solitons in three-component reaction-diffusion system — •S. V. Gurevich, Sh. Amiranashvili, and H.-G. Purwins — Institute of Applied Physics, WWU Münster, Corrensstr. 2-4, 48149 Münster, Germany

We investigate stability of the localized stationary solutions in a three-component reaction-diffusion system with one activator and two inhibitors. The change of the time constants of inhibitors can lead to various destabilization scenarios, e.g., to drift- or breathing bifurcation. A more complicated case, where both unstable modes are excited together also is considered. These situations are analyzed performing a two-time-scale expansion and the corresponding amplitude equations are obtained. Also numerical simulations are carried out showing good agreement with our analytical predictions.