Synchronization of Kuramoto Oscillators in Scale-Free Networks

Details Synchronization of Kuramoto Oscillators in Scale-Free Networks Synchronization of Kuramoto Oscillators in Scale-Free Networks

2004-01-15

arxiv.org/abs/cond-mat/0401266v2

Europhysics Letters 68, 603 (2004).

Physics

Condensed Matter

Statistical Mechanics

7 pages and 4 eps figures, the text has been slightly modified and new references have been included. Final version to appear

Scientific paper

10.1209/epl/i2004-10238-x

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 and fully characterize the system's dynamics. We also found that the resynchronization time of a perturbed node decays as a power law of its connectivity, providing a simple analytical explanation to this interesting behavior.

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