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.
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This study was supported by the Network of Excellence in Biosimulation (BioSim LSHB-CT-20004-005137) and by AiF (grant no. KF 0251802KWD2).
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Popovych, O.V., Hauptmann, C. & Tass, P.A. Impact of Nonlinear Delayed Feedback on Synchronized Oscillators. J Biol Phys 34, 267–279 (2008). https://doi.org/10.1007/s10867-008-9068-1
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DOI: https://doi.org/10.1007/s10867-008-9068-1