Explosive synchronization transition in a ring of coupled oscillators

Abstract

Explosive synchronization(ES), as one kind of abrupt dynamical transition in nonlinearly coupled systems, is currently a subject of great interests. Given a special frequency distribution, a mixed ES is observed in a ring of coupled phase oscillators which transits from partial synchronization to ES with the increment of coupling strength. The coupling weight is found to control the size of the hysteresis region where asynchronous and synchronized states coexist with each other. Theoretical analyses reveal that the transition varies from the mixed ES, to the ES and then to a continuous one with the increment of coupling weight. Our results are helpful to extend the understanding of the ES in homogenous networks.