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The role of multiplicative noise in complete synchronization of bidirectionally coupled chain

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Abstract

wIn this paper, the role of multiplicative noise in synchronization of bidirectionally coupled chain is studied. For coupled chain with three nodes, we demonstrate that noise plays positive role in synchronization based on stability theory of stochastic differential equation, and numerical simulations show the theoretical results is correct. For coupled chain with more than three nodes, we discuss the noise’s effect on synchronization by numerical simulations. By the numerical results, one may conjecture that the noise also have positive effect on synchronization when node number is larger than three. However, the positive effect of noise on synchronization is weaken with node number increasing.

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Authors and Affiliations

  1. Department of Mathematics and Information Science, Chang’an University, Xi’an, 710086, P.R. China

    Yuzhu Xiao

  2. School of Statistics, Xi’an University of Finance and Economics, Xi’an, 710100, P.R. China

    Sufang Tang

  3. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072, P.R. China

    Zhongkui Sun

Authors
  1. Yuzhu Xiao
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  2. Sufang Tang
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  3. Zhongkui Sun
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Correspondence to Yuzhu Xiao.

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Xiao, Y., Tang, S. & Sun, Z. The role of multiplicative noise in complete synchronization of bidirectionally coupled chain. Eur. Phys. J. B 87, 134 (2014). https://doi.org/10.1140/epjb/e2014-50202-6

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  • DOI: https://doi.org/10.1140/epjb/e2014-50202-6

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