title: Phase synchronization in ensembles of bursting oscillators.
abstract: 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 phenomenon can be used efficiently for controlling bursting activity in neural ensembles.
authors.affiliation: Department of Radiophysics, Nizhny Novgorod University, 23, Gagarin Avenue, 603600 Nizhny Novgorod, Russia.
authors.forename: Mikhail V
authors.initials: MV
authors.lastname: Ivanchenko
authors.forename: Grigory V
authors.initials: GV
authors.lastname: Osipov
authors.forename: Vladimir D
authors.initials: VD
authors.lastname: Shalfeev
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths