Stabilization of complex spatio-temporal dynamics near a subcritical Hopf bifurcation by time-delayed feedback
Technische Universität Berlin, Institut für Theoret. Physik, Hardenbergstr. 36, 10623 Berlin, Germany
2 Ioffe Physicotechnical Insitute of Russian Academy of Sciences, Politechnicheskaya 26, 194021 St. Petersburg, Russia
Corresponding author: a firstname.lastname@example.org
Published online: 15 April 2009
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.
PACS: 05.45.Gg – Control of chaos, applications of chaos / 02.30.Ks – Delay and functional equations / 47.20.Ky – Nonlinearity, bifurcation, and symmetry breaking / 87.19.lr – Control theory and feedback
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009