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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.

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Metadaten
Author:Michael Stich, Carsten BetaORCiDGND
URL:http://www.sciencedirect.com/science/journal/01672789
DOI:https://doi.org/10.1016/j.physd.2010.05.001
ISSN:0167-2789
Document Type:Article
Language:English
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