Phase locking induces scale-free topologies in networks of coupled oscillators.
basic_science · Level V
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- Record sourced from PubMed, PMID 18612423.
- Also identified by DOI 10.1371/journal.pone.0002644 and PMC identifier PMC2440542.
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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.