Article ID Journal Published Year Pages File Type
1898746 Physica D: Nonlinear Phenomena 2010 11 Pages PDF
Abstract

We consider the suppression of spatiotemporal chaos in the complex Ginzburg–Landau equation by a combined global and local time-delay feedback. Feedback terms are implemented as a control scheme, i.e., they are proportional to the difference between the time-delayed state of the system and its current state. We perform a linear stability analysis of uniform oscillations with respect to space-dependent perturbations and compare with numerical simulations. Similarly, for the fixed-point solution that corresponds to amplitude death in the spatially extended system, a linear stability analysis with respect to space-dependent perturbations is performed and complemented by numerical simulations.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
, ,