Dynamics and stability of chimera states in two coupled populations of oscillators

Abstract: We consider networks formed from two populations of identical oscillators, with uniform strength all-to-all coupling within populations, and also between populations, with a different strength. Such systems are known to support chimera states in which oscillators within one population are perfectly synchronised while in the other the oscillators are incoherent, and have a different mean frequency from those in the synchronous population. Assuming that the oscillators in the incoherent population always lie on a closed smooth curve C, we derive and analyse the dynamics of the shape of C and the probability density on C, for several different types of oscillators.

dynamical systems

Audience: researchers in the topic

Sydney Dynamics Group Seminar

Series comments: Description: Research seminar for dynamical systems topics