• search hit 3 of 90
Back to Result List

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

  • 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.

Export metadata

Additional Services

Share in Twitter Search Google Scholar Statistics
Author:Michael Stich, Carsten BetaORCiDGND
Document Type:Article
Year of first Publication:2010
Year of Completion:2010
Release Date:2017/03/25
Source:Physica D : nonlinear phenomena. - ISSN 0167-2789. - 239 (2010), 17, S. 1681 - 1691
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert
Publication Way:Open Access