Chimera states in heterogeneous networks

Details Chimera states in heterogeneous networks Chimera states in heterogeneous networks

2008-09-23

arxiv.org/abs/0809.4048v2

Nonlinear Sciences

Chaotic Dynamics

Revised text. To appear, Chaos

Scientific paper

10.1063/1.3068353

Chimera states in networks of coupled oscillators occur when some fraction of the oscillators synchronise with one another, while the remaining oscillators are incoherent. Several groups have studied chimerae in networks of identical oscillators, but here we study these states in a heterogeneous model for which the natural frequencies of the oscillators are chosen from a distribution. We obtain exact results by reduction to a finite set of differential equations. We find that heterogeneity can destroy chimerae, destroy all states except chimerae, or destabilise chimerae in Hopf bifurcations, depending on the form of the heterogeneity.

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