Controlling synchrony in ensemble of globally coupled oscillators

Michael Rosenblum

Department of Physics, Potsdam University, Am Neuen Palais 10, 14469 Potsdam, Germany

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.