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Phase Synchronization in Ensembles of Bursting Oscillators Mikhail V. Ivanchenko,1

Summary: Phase Synchronization in Ensembles of Bursting Oscillators
Mikhail V. Ivanchenko,1
Grigory V. Osipov,1,2
Vladimir D. Shalfeev,1
and Ju¨rgen Kurths2
Department of Radiophysics, Nizhny Novgorod University, 23, Gagarin Avenue, 603600 Nizhny Novgorod, Russia
Institute of Physics, University Potsdam, 10, Am Neuen Palais, D-14415, Potsdam, Germany
(Received 14 April 2004; published 20 September 2004)
We study the effects of mutual and external chaotic phase synchronization in ensembles of bursting
oscillators. These oscillators (used for modeling neuronal dynamics) are essentially multiple time scale
systems. We show that a transition to mutual phase synchronization takes place on the bursting time
scale of globally coupled oscillators, while on the spiking time scale, they behave asynchronously. We
also demonstrate the effect of the onset of external chaotic phase synchronization of the bursting
behavior in the studied ensemble by a periodic driving applied to one arbitrarily taken neuron. We also
propose an explanation of the mechanism behind this effect. We infer that the demonstrated phenome-
non can be used efficiently for controlling bursting activity in neural ensembles.
DOI: 10.1103/PhysRevLett.93.134101 PACS numbers: 05.45.Xt, 87.19.La
At present our knowledge of the phenomenon of phase


Source: Aickelin, Uwe - School of Computer Science, University of Nottingham


Collections: Computer Technologies and Information Sciences