Controlling synchrony by delay coupling in networks: from in-phase to splay and cluster states

Details Controlling synchrony by delay coupling in networks: from in-phase to splay and cluster states Controlling synchrony by delay coupling in networks: from in-phase to splay and cluster states

2009-08-27

arxiv.org/abs/0908.3984v2

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures

Scientific paper

We study synchronization in delay-coupled oscillator networks, using a master stability function approach. Within a generic model of Stuart-Landau oscillators (normal form of super- or subcritical Hopf bifurcation) we derive analytical stability conditions and demonstrate that by tuning the coupling phase one can easily control the stability of synchronous periodic states. We propose the coupling phase as a crucial control parameter to switch between in-phase synchronization or desynchronization for general network topologies, or between in-phase, cluster, or splay states in unidirectional rings. Our results are robust even for slightly nonidentical elements of the network.

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