Abstract
We consider the suppression of spatiotemporal chaos in the complex GinzburgLandau 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1681-1691 |
| Number of pages | 11 |
| Journal | Physica D |
| Volume | 239 |
| Issue number | 17 |
| Early online date | 13 May 2010 |
| DOIs | |
| Publication status | Published - 1 Sept 2010 |
Keywords
- chaos control
- feedback
- pattern formation
- reactiondiffusion systems