Dynamical behavior for stochastic lattice systems

Yan Lv and Jianhua Sun

Chaos, Solitons & Fractals, 2006, vol. 27, issue 4, 1080-1090

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:4:p:1080-1090

DOI: 10.1016/j.chaos.2005.04.089

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