Clustering and Synchronization of Oscillator Networks

Details Clustering and Synchronization of Oscillator Networks Clustering and Synchronization of Oscillator Networks

2005-01-27

arxiv.org/abs/cond-mat/0501663v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

Submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.72.015101

Using a recently described technique for manipulating the clustering coefficient of a network without changing its degree distribution, we examine the effect of clustering on the synchronization of phase oscillators on networks with Poisson and scale-free degree distributions. For both types of network, increased clustering hinders global synchronization as the network splits into dynamical clusters that oscillate at different frequencies. Surprisingly, in scale-free networks, clustering promotes the synchronization of the most connected nodes (hubs) even though it inhibits global synchronization. As a result, scale-free networks show an additional, advanced transition instead of a single synchronization threshold. This cluster-enhanced synchronization of hubs may be relevant to the brain with its scale-free and highly clustered structure.

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