Synchronization and structure in an adaptive oscillator network
Consejo Nacional de Investigaciones Científicas y Técnicas Centro Atómico Bariloche and Instituto Balseiro, 8400 Bariloche, Argentina
Corresponding author: a firstname.lastname@example.org
Revised: 28 August 2006
Published online: 6 October 2006
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.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.65.+b – Self-organized systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006