Controlling spatiotemporal chaos in oscillatory reaction-diffusion systems by time-delay auto synchronization

[摘要] Diffusion-induced turbulence in spatially extended oscillatory media near a supercritical Hopf bifurcation can be controlled by applying global time-delay auto synchronization. We consider the complex Ginzburg-Landau equation in the Benjamin-Feir unstable regime and analytically investigate the stability of uniform oscillations depending on the feedback parameters. We show that a noninvasive stabilization of uniform oscillations is not possible in this type of system. The synchronization diagram in the plane spanned by the feedback parameters is derived. Numerical simulations confirm the analytical results and give additional information on the spatiotemporal dynamics of the system close to complete synchronization. (C) 2004 Elsevier B.V. All rights reserved.

[发布日期] 2004-12-01

[效力级别]  Proceedings Paper

[关键词] reaction-diffusion systems;turbulence;feedback