Unexpected synchronization

Abstract

An ensemble of oscillators capable of a highly nontrivial synchronization is investigated. The oscillators are stochastic units which can emit a signal and detect signals emitted by others. They have two operational modes characterized by two different oscillation periods. Switching between the modes is governed by a simple rule: the average output intensity is kept around a prescribed threshold. This simple dynamical rule realizes the coupling of the units and leads to a complex collective behaviour. Computer simulations proved that for a given interval of the threshold parameter, partial synchronization of the units occurs. The appearance and disappearance of this synchronization as a function of the threshold parameter indicates a phase-transition type behaviour.