Stabilization of complex spatio-temporal dynamics near a subcritical Hopf bifurcation by time-delayed feedback

We investigate complex spatio-temporal dynamics in the framework of a generic model describing nonlinear semiconductor or electrochemical systems with S-shaped current-voltage characteristics. Global time-delayed feedback control is applied to stabilize unstable spatio-temporal patterns which are cr...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2009-04, Vol.68 (4), p.557-565
Main Authors: Kehrt, M., Hövel, P., Flunkert, V., Dahlem, M. A., Rodin, P., Schöll, E.
Format: Article
Language:English
Subjects:
Complex Systems
Condensed Matter Physics
Fluid- and Aerodynamics
Physics
Physics and Astronomy
Solid State Physics
Statistical and Nonlinear Physics
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Summary:We investigate complex spatio-temporal dynamics in the framework of a generic model describing nonlinear semiconductor or electrochemical systems with S-shaped current-voltage characteristics. Global time-delayed feedback control is applied to stabilize unstable spatio-temporal patterns which are created in a subcritical Hopf bifurcation. This demonstrates the invalidity of the alleged odd-number limitation of time-delayed feedback control in systems with spatial degrees of freedom.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2009-00132-5