Eur. Phys. J. B 68, 557-565 (2009)
https://doi.org/10.1140/epjb/e2009-00132-5

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

¹ 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 schoell@physik.tu-berlin.de

Received: 17 December 2008
Published online: 15 April 2009

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.