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Dynamical behavior for stochastic lattice systems

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  • Lv, Yan
  • Sun, Jianhua

Abstract

Random attractors describe the long term behavior of the random dynamical systems. This paper is devoted to a general first order stochastic lattice dynamical systems (SLDS) with some dissipative nonlinearity. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor, which is a compact random invariant set with tempered bound.

Suggested Citation

  • Lv, Yan & Sun, Jianhua, 2006. "Dynamical behavior for stochastic lattice systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1080-1090.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:4:p:1080-1090
    DOI: 10.1016/j.chaos.2005.04.089
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    Cited by:

    1. 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).
    2. Zhang, Qi, 2009. "Random attractors for a Ginzburg–Landau equation with additive noise," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 463-472.
    3. Jie Xin & Hong Lu, 2011. "Random Attractors for the Stochastic Discrete Long Wave‐Short Wave Resonance Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    4. Chunqiu Li & Min Zhao & Caidi Zhao, 2013. "Pullback Exponential Attractors for Nonautonomous Klein‐Gordon‐Schrödinger Equations on Infinite Lattices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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