Control of pattern formation by time-delay feedback with global and local contributions

Michael Stich*, Carsten Beta

*Corresponding author for this work

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1681-1691
Number of pages11
JournalPhysica D
Volume239
Issue number17
Early online date13 May 2010
DOIs
Publication statusPublished - 1 Sep 2010

Keywords

  • chaos control
  • feedback
  • pattern formation
  • reactiondiffusion systems

Fingerprint Dive into the research topics of 'Control of pattern formation by time-delay feedback with global and local contributions'. Together they form a unique fingerprint.

  • Cite this