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PLoS One. 2008 Jul 9;3(7):e2644. doi: 10.1371/journal.pone.0002644.

Phase locking induces scale-free topologies in networks of coupled oscillators.

Author information

1
Departamento de Física, Universidad Rey Juan Carlos, Móstoles, Madrid, Spain.

Abstract

An initial unsynchronized ensemble of networking phase oscillators is further subjected to a growing process where a set of forcing oscillators, each one of them following the dynamics of a frequency pacemaker, are added to the pristine graph. Linking rules based on dynamical criteria are followed in the attachment process to force phase locking of the network with the external pacemaker. We show that the eventual locking occurs in correspondence to the arousal of a scale-free degree distribution in the original graph.

PMID:
18612423
PMCID:
PMC2440542
DOI:
10.1371/journal.pone.0002644
[Indexed for MEDLINE]
Free PMC Article

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