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.
Author details: | Michael Stich, Carsten BetaORCiDGND |
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URL: | http://www.sciencedirect.com/science/journal/01672789 |
DOI: | https://doi.org/10.1016/j.physd.2010.05.001 |
ISSN: | 0167-2789 |
Publication type: | Article |
Language: | English |
Year of first publication: | 2010 |
Publication year: | 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 |
Publishing method: | Open Access |