Investigation of the possibility of the existence of multistability in the regime of intermittent phase synchronization in ensemble of unidirectionally coupled Rössler systems

Abstract

The question of the possibility of the existence of multistability near the boundary of phase synchronization in unidirectionally coupled chaotic systems is studied. The cases of relatively large and relatively small detuning between them are considered. The multistability is shown to be observed in both cases. A quantitative characteristic of the degree of multistability is introduced and it is shown that its time dependence in the regime of intermittent phase synchronization can be used to determine the lengths of the characteristic phases of the system behavior.