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Noise-induced outer synchronization between two different complex dynamical networks

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Abstract

In this paper, based on the theory of stochastic differential equations, we study the outer synchronization between two different complex dynamical networks with noise coupling. The theoretical result shows that two different complex networks can achieve generalized outer synchronization only with white-noise-based coupling. Numerical examples further verify the effectiveness and feasibility of the theoretical results. Numerical evidence shows that the synchronization rate is proportional to the noise intensity.

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Acknowledgements

We thank anonymous referees for helpful suggestions and comments. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11226150 and 61391240193) and the Fundamental Research Funds for the Central Universities (Grant Nos. 2010LKSX04, 2010LKSX09, 2011QNA26 and 2013XK03).

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Authors and Affiliations

  1. School of Science, China University of Mining and Technology, Xuzhou, 221008, P.R. China

    Yongzheng Sun & Hongjun Shi

  2. Department of Mathematics, Federal University Oye-Ekiti, Oye-Ekiti, Ekiti State, Nigeria

    Emmanuel A. Bakare

  3. School of Mathematical Sciences, Research Center for Nonlinear Sciences, Fudan University, Shanghai, 200433, P.R. China

    Qingxin Meng

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  1. Yongzheng Sun
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  2. Hongjun Shi
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  3. Emmanuel A. Bakare
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  4. Qingxin Meng
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Correspondence to Yongzheng Sun.

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Sun, Y., Shi, H., Bakare, E.A. et al. Noise-induced outer synchronization between two different complex dynamical networks. Nonlinear Dyn 76, 519–528 (2014). https://doi.org/10.1007/s11071-013-1145-8

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