Synchronization of Phase Oscillators in Scale-Free Networks

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  • 15 January 2004
Abstract
In this work, we study the synchronization of coupled phase oscillators on the underlying topology of scale-free networks. In particular, we assume that each network's component is an oscillator and that each interacts with the others following the Kuramoto model. We then study the onset of global phase synchronization by constructing the phase diagram of the system's dynamics. Our results show that the synchronizability of oscillators coupled as dictated by the topology of scale-free networks is easily achieved and robust which in turn may help understand why this network architecture is so ubiquitous in Nature.

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