Synchronization and structure in an adaptive oscillator network

Details Synchronization and structure in an adaptive oscillator network Synchronization and structure in an adaptive oscillator network

2006-05-22

arxiv.org/abs/cond-mat/0605536v1

Eur. Phys. J. B 53, 233-238 (2006)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 7 figures

Scientific paper

10.1140/epjb/e2006-00362-y

We analyze the interplay of synchronization and structure evolution in an evolving network of phase oscillators. An initially random network is adaptively rewired according to the dynamical coherence of the oscillators, in order to enhance their mutual synchronization. We show that the evolving network reaches a small-world structure. Its clustering coefficient attains a maximum for an intermediate intensity of the coupling between oscillators, where a rich diversity of synchronized oscillator groups is observed. In the stationary state, these synchronized groups are directly associated with network clusters.

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