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Synchronization of Kuramoto oscillators in random complex networks

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  • Li, Ping
  • Yi, Zhang

Abstract

We study the synchronization of coupled phase oscillators in random complex networks. The topology of the networks is assumed to be vary over time. Here we mainly study the onset of global phase synchronization when the topology switches rapidly over time. We find that the results are, to some extent, different from those in deterministic situations. In particular, the synchronizability of coupled oscillators can be enhanced in ER networks and scale-free networks under fast switching, while in stochastic small-world networks such enhancement is not significant.

Suggested Citation

  • Li, Ping & Yi, Zhang, 2008. "Synchronization of Kuramoto oscillators in random complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(7), pages 1669-1674.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:7:p:1669-1674
    DOI: 10.1016/j.physa.2007.11.008
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    References listed on IDEAS

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    1. M. E. J. Newman & D. J. Watts, 1999. "Renormalization Group Analysis of the Small-World Network Model," Working Papers 99-04-029, Santa Fe Institute.
    2. Lü, Jinhu & Yu, Xinghuo & Chen, Guanrong, 2004. "Chaos synchronization of general complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 281-302.
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