The Dependence of Chimera States on Initial Conditions**Supported by the National Natural Science Foundation of China under Grant No 71301012.

Abstract

A chimera state consisting of both coherent and incoherent groups is a fascinating spatial pattern in non-locally coupled identical oscillators. It is thought that random initial conditions hardly evolve to chimera states. In this work, we study the dependence of chimera states on initial conditions. We show that random initial conditions may lead to chimera states and the chance of realizing chimera states becomes increasing when the model parameters are moving away from the boundary of their stable regime.