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Convergence Rate of Synchronization of Coupled Stochastic Lattice Systems with Additive Fractional Noise

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Abstract

This paper is devoted to the synchronization of stochastic lattice dynamical systems driven by fractional Brownian motion with Hurst parameter \(\frac{1}{2}<H<1\). We first prove that the synchronization of any two solutions occurs and then we also show that the synchronization of any two components of solutions of the coupled stochastic lattice dynamical systems occurs. Moreover, the convergence rate of synchronization is obtained.

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Acknowledgements

We would like to thank the support provided by NSFs of China (Nos. 11271013, 11471340) and the Fundamental Research Funds for the Central Universities, HUST: 2016YXMS003.

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  1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China

    Jicheng Liu & Meiling Zhao

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  1. Jicheng Liu
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  2. Meiling Zhao
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Correspondence to Meiling Zhao.

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Liu, J., Zhao, M. Convergence Rate of Synchronization of Coupled Stochastic Lattice Systems with Additive Fractional Noise. J Dyn Diff Equat 35, 947–981 (2023). https://doi.org/10.1007/s10884-021-10028-y

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  • DOI: https://doi.org/10.1007/s10884-021-10028-y

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