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Complete synchronization of the global coupled dynamical network induced by Poisson noises

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  • Qing Guo
  • Fangyi Wan

Abstract

The different Poisson noise-induced complete synchronization of the global coupled dynamical network is investigated. Based on the stability theory of stochastic differential equations driven by Poisson process, we can prove that Poisson noises can induce synchronization and sufficient conditions are established to achieve complete synchronization with probability 1. Furthermore, numerical examples are provided to show the agreement between theoretical and numerical analysis.

Suggested Citation

  • Qing Guo & Fangyi Wan, 2017. "Complete synchronization of the global coupled dynamical network induced by Poisson noises," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-11, December.
    • Handle: RePEc:plo:pone00:0188632
    DOI: 10.1371/journal.pone.0188632
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    References listed on IDEAS

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    1. Cao, Jinde & Wang, Zidong & Sun, Yonghui, 2007. "Synchronization in an array of linearly stochastically coupled networks with time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 718-728.
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