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Random attractors for first order stochastic retarded lattice dynamical systems

Weiping Yan, Yong Li, Shuguan Ji

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Source: Crossref

Published: Mar 1, 2010

DOI: 10.1063/1.3319566

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Source abstract

This paper is concerned with the existence of random attractors for a general first order stochastic retarded lattice dynamical systems. It shows that, under suitable dissipative conditions, such a system possesses a random attractor which is a random compact invariant set. Furthermore, the ergodicity of the system is also proven.

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Random attractors for first order stochastic retarded lattice dynamical systems — Mathematical Frontier Network