Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Space

Yijin Zhang and Zongbing Lin

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-10

Abstract:

In this paper, we focus on the asymptotic behavior of solutions to stochastic delay lattice equations with additive noise and deterministic forcing. We first show the existence of a continuous random dynamical system for the equations. Then we investigate the pullback asymptotical compactness of solutions as well as the existence and uniqueness of tempered random attractor in space. Finally, ergodicity of the systems is achieved.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:5405947

DOI: 10.1155/2020/5405947

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