Synchronization of Kuramoto oscillators in scale-free networks

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 glo...

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Bibliographic Details
Published in:Europhysics letters 2004-11, Vol.68 (4), p.603-609
Main Authors: Moreno, Y, Pacheco, A. F
Format: Article
Language:English
Subjects:
05.45.Xt
89.75.-k
89.75.Fb
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Summary: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.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2004-10238-x