%0 Generic %1 Poster_DDAYS06_PH %A Hövel, P. %A Dahms, T. %A Schöll, E. %D 2006 %K imported %T Time-delayed feedback control of unstable fixed points with variable physe-dependent coupling %X During the last decade time-delayed feedback methods have been successfully used to control unstable periodic orbits as well as unstable steady states HOE05. 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 TRO06,SCH06a where the optical phase is an additional degree of freedom.

@misc{Poster_DDAYS06_PH, abstract = {During the last decade time-delayed feedback methods have been successfully used to control unstable periodic orbits as well as unstable steady states \cite{HOE05}. 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 \cite{TRO06,SCH06a} where the optical phase is an additional degree of freedom.}, added-at = {2009-03-03T17:19:04.000+0100}, author = {H{\"o}vel, P. and Dahms, T. and Sch{\"o}ll, E.}, biburl = {https://www.bibsonomy.org/bibtex/2400abc5219fa5c0366f27f50d657431b/bronckobuster}, howpublished = {Poster at the Dynamics Days Europe 2006}, interhash = {eb50803cd24af42666bd6b0f5eb374f4}, intrahash = {400abc5219fa5c0366f27f50d657431b}, keywords = {imported}, timestamp = {2009-03-03T17:19:56.000+0100}, title = {Time-delayed feedback control of unstable fixed points with variable physe-dependent coupling}, year = 2006 }