Dresden 2006 – scientific programme

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DY: Dynamik und Statistische Physik

DY 34: Nonlinear Dynamics, Synchronization and Chaos I

DY 34.4: Talk

Wednesday, March 29, 2006, 15:15–15:30, H\"UL 186

Breathing 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 possible destabilization mechanisms of stationary solutions in a three-component reaction-diffusion system with one activator and two inhibitors due to change of the inhibitor’s time constants. The case we are interested in is that the breathing mode becomes unstable first and the dissipative soliton undergoes a bifurcation from a stationary to a No-dqbreathingNo-dq state. In this case, both self- and hard-excitations can be observed. This situation is analyzed performing a two-time-scale expansion in the vicinity of the bifurcation point resulting in the corresponding amplitude equation is obtained. Numerical simulations are also carried out showing good agreement with the analytical predictions.