Phys. Rev. E 70, 041904 (2004) - Delayed feedback control of collective synchrony: An approach to suppression of pathological brain rhythms

Delayed feedback control of collective synchrony: An approach to suppression of pathological brain rhythms

Michael Rosenblum and Arkady Pikovsky

Phys. Rev. E 70, 041904 – Published 21 October 2004

Abstract

We suggest a method for suppression of synchrony in a globally coupled oscillator network, based on the time-delayed feedback via the mean field. Having in mind possible applications for suppression of pathological rhythms in neural ensembles, we present numerical results for different models of coupled bursting neurons. A theory is developed based on the consideration of the synchronization transition as a Hopf bifurcation.

Received 21 May 2004

DOI:https://doi.org/10.1103/PhysRevE.70.041904

©2004 American Physical Society

Authors & Affiliations

Michael Rosenblum^* and Arkady Pikovsky^†

Department of Physics, University of Potsdam, PF 601553, D-14415 Potsdam, Germany

^*URL: www.agnld.uni-potsdam.de/̃mros
^†URL: www.stat.physik.uni-potsdam.de/̃pikovsky

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Issue

Vol. 70, Iss. 4 — October 2004

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