Impact of nonlinear delayed feedback on synchronized oscillators.
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ABSTRACT: 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.
SUBMITTER: Popovych OV
PROVIDER: S-EPMC2585627 | biostudies-other | 2008 Aug
REPOSITORIES: biostudies-other
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