Abstract
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.
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Kehrt, M., Hövel, P., Flunkert, V. et al. Stabilization of complex spatio-temporal dynamics near a subcritical Hopf bifurcation by time-delayed feedback. Eur. Phys. J. B 68, 557–565 (2009). https://doi.org/10.1140/epjb/e2009-00132-5
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DOI: https://doi.org/10.1140/epjb/e2009-00132-5