Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space.
- Resource Type
- Article
- Authors
- Zhang, Yijin; Lin, Zongbing
- Source
- Discrete Dynamics in Nature & Society. 1/5/2020, p1-11. 11p.
- Subject
- *RANDOM dynamical systems
*STOCHASTIC analysis
*SPACE
*BEHAVIOR
- Language
- ISSN
- 1026-0226
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 X ρ space. Finally, ergodicity of the systems is achieved. [ABSTRACT FROM AUTHOR]