RETURN TIME STATISTICS AND ANTI-PHASE REGULARIZATION IN COUPLED CHAOTIC MAPS MODELING BURSTING OSCILLATIONS

Abstract

The problem of phase synchronization of coupled chaotic bursting oscillatory systems is studied using the probability distribution of return time to the quiscent state. It is shown that, in some range of the coupling strength, the continuous type distribution becomes discrete and is supported by few values around a preferred one. This shows that the shape and the amplitudes of the spikes are not important and the main aspect of coupling is the change of distribution of the units' time return difference.