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The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes

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  • Yuzhu Xiao
  • Sufang Tang
  • Zhongkui Sun

Abstract

The role of multiplicative noise in the synchronization of unidirectionally coupled ring with three nodes is studied. Based on the theory of stochastic differential equations, we demonstrate that noise plays a positive role in complete synchronization. In numerical simulations, the Lorenz system, Rössler like system, and Hindmarsh-Rose neuron model are employed to demonstrate the correctness of our theoretical result.

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  • Yuzhu Xiao & Sufang Tang & Zhongkui Sun, 2014. "The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-7, July.
    • Handle: RePEc:hin:jnljam:741961
    DOI: 10.1155/2014/741961
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