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DY: Dynamik und Statistische Physik

DY 11: Nonlinear Dynamics

DY 11.2: Vortrag

Freitag, 4. März 2005, 10:45–11:00, TU H2032

The influence of the breathing mode on the dynamic of 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,Corrensstrasse 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.This situation is analyzed performing a multiple scale perturbation expansion up to third order in the vicinity of the bifurcation point. To prove the correctness of the calculations,numerical simulations are carried out showing good agreement with the analytical predictions.