Delayed feedback control of collective synchrony: an approach to suppression of pathological brain rhythms.
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.
Rosenblum
Michael
M
Department of Physics, University of Potsdam, PF 601553, D-14415 Potsdam, Germany.
Pikovsky
Arkady
A
D000200:Action Potentials; D000818:Animals; D001683:Biological Clocks; D001921:Brain / Q000503:physiopathology*; D001927:Brain Diseases / Q000503:physiopathology* / Q000628:therapy; D003198:Computer Simulation; D046690:Deep Brain Stimulation / Q000379:methods*; D005246:Feedback; D006801:Humans; D008959:Models, Neurological; D009415:Nerve Net / Q000503:physiopathology*; D009474:Neurons; D009435:Synaptic Transmission; D013813:Therapy, Computer-Assisted / Q000379:methods