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Existence and Upper Semicontinuity of Attractors for Nonautonomous Stochastic Sine‐Gordon Lattice Systems with Random Coupled Coefficients

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  • Zhaojuan Wang
  • Shengfan Zhou

Abstract

We study nonautonomous stochastic sine‐Gordon lattice systems with random coupled coefficients and multiplicative white noise. We first consider the existence of random attractors in a weighted space for this system and then establish the upper semicontinuity of random attractors as the intensity of noise approaches zero.

Suggested Citation

  • Zhaojuan Wang & Shengfan Zhou, 2016. "Existence and Upper Semicontinuity of Attractors for Nonautonomous Stochastic Sine‐Gordon Lattice Systems with Random Coupled Coefficients," Discrete Dynamics in Nature and Society, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnddns:v:2016:y:2016:i:1:n:7986203
    DOI: 10.1155/2016/7986203
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    References listed on IDEAS

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    1. Lv, Yan & Sun, Jianhua, 2006. "Dynamical behavior for stochastic lattice systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1080-1090.
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