Clustering and Synchronization in an Array of Repulsively Coupled Phase Oscillators

摘要

Clustering and synchronization in an array of repulsively coupled phase oscillators are numerically in-vestigated.It is found that oscillators are divided into several clusters according to the symmetry in the structure.Synchronization occurs between oscillators in each cluster,while those oscillators belonging to different clusters remainasynchronous.Such synchronization may collapse for all clusters when the dynamics of only one oscillator is alteredproperly.The synchronous state may return back after a short period of transient process.This is determined by thestrength of the oscillator altered.Its application in the communication of one-to-several is suggested.