Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Poster I

DY 24.25: Poster

Wednesday, March 28, 2007, 16:00–18:00, Poster D

Time-delayed feedback control of fixed points with variable phase-dependent coupling — •Thomas Dahms, Philipp Hövel, and Eckehard Schöll — Institut für Theoretische Physik, TU Berlin, Hardenbergstr. 36, D-10623 Berlin

During the last decade time-delayed feedback methods have been successfully used to control unstable periodic orbits as well as unstable steady states. [1] In most of the theoretical analysis, this control method is considered in the realization of diagonal coupling, i.e., the control force applied to the i-th component of the system is a function of exclusively the same component. Although diagonal coupling is suitable for a theoretical investigation, it is often not feasible for an experiment. Therefore we consider the more general case where control is effected by a nondiagonal coupling matrix. Specifically, we investigate the time-delayed feedback scheme for a rotational coupling matrix parametrized by a variable phase. We present an analysis of the domain of control for simple time-delay autosynchronization (TDAS) as well as for multiple time extended feedback (ETDAS). We demonstrate the application to optical systems [2,3] where the optical phase is an additional degree of freedom.

[1] P. Hövel and E. Schöll, Phys. Rev. E 72, 046203 (2005).

[2] V. Z. Tronciu, H.-J. Wünsche, M. Wolfrum, and M. Radziunas, Phys. Rev. E 73, 046205 (2006).

[3] S. Schikora, P. Hövel, H.-J. Wünsche, E. Schöll, and F. Henneberger, Phys. Rev. Lett. 97, 213902 (2006).