Impact of nonlinear delayed feedback on synchronized oscillators.
We show that synchronization processes can effectively be controlled with nonlinear delayed feedback. We demonstrate that nonlinear delayed feedback can have a twofold impact on the collective dynamics of large ensembles of coupled oscillators: synchronizing and, mostly, desynchronizing effects. By means of a model equation for the mean field, we explore the existence and stability of the feedback-induced desynchronized states, their multistability and dynamical properties. We propose nonlinear delayed feedback stimulation for the therapy of neurological diseases characterized by abnormal synchrony.
Popovych
Oleksandr V
OV
Institute of Neurosciences and Biophysics 3 - Medicine, Research Center Jülich, 52425 Jülich, Germany. o.popovych@fz-juelich.de
Hauptmann
Christian
C
Tass
Peter A
PA