Title :
Drift bifurcation of dissipative solitons: destabilisation due to a change of shape
Author :
Gurevich, S.V. ; Bodeker, H.U. ; Moskalenko, A.S. ; Liehr, A.W. ; Purwins, H.-G.
Author_Institution :
Inst. fur Angewandte Phys., Munster, Germany
Abstract :
In this paper we report on the drift bifurcation of single dissipative soliton in a three-component reaction-diffusion system due to a change of its shape. We derive analytical expression for the velocity of the dissipative soliton as a function of an appropriate control parameters. To prove the correctness of the calculations, numerical simulations are carried out showing good agreement with the analytical predictions.
Keywords :
bifurcation; solitons; stability; control parameters; destabilization; dissipative solitons; drift bifurcation; eigenvalues; numerical simulations; three component reaction diffusion system; Analytical models; Bifurcation; Chemical processes; Decision support systems; Differential equations; Inhibitors; Nonlinear equations; Shape; Solitons; Velocity control;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236901
