Berlin 2005 – scientific programme

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DY: Dynamik und Statistische Physik

DY 34: Poster

DY 34.29: Poster

Monday, March 7, 2005, 15:30–18:00, Poster TU D

Breathing and traveling dissipative solitons in a three-component reaction-diffusion system — •Svetlana Gurevich¹, Andreas Liehr², Shalva Amiranashvili¹ und Hans-Georg Purwins¹ — ¹Institut für Angewandte Physik, WWU Münster, Corrensstr. 2-4, 48149 Münster — ²Freiburger Materialforschungszentrum,Stefan-Meier-Str. 21, D-79104 Freiburg

We investigate the stability of the localized solutions in a three-component reaction-diffusion system with one activator and two inhibitors. Changing the time constants of inhibitors leads to the instability of a stationary solution. In many cases the breating mode comes first and the stationary dissipative soliton undergoes a bifurcation from a stationary to a "breathing" state. On the other hand it is possible to observe a mode responsable for a movement first and a drift-bifurcation take a place. Moreover the interaction between this two modes can be observed. This situations are analyzed performing a multiple scale perturbation expansion up to third order in the vicinity of the bifurcation point. To prove the correctness of the theory, numerical simulations are carried out showing good agreement with the analytical predictions.