In this article, we investigate the Wong-Zakai approximations of a class of second order non-autonomous stochastic lattice systems with additive white noise. We first prove the existence and uniqueness of tempered pullback random attractors for the original stochastic system and its Wong-Zakai approximation. Then, we establish the upper semicontinuity of these attractors for Wong-Zakai approximations as the step-length of the Wiener shift approaches zero.
Publications
- Article type
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Article type
Year
Open Access
Research Article
Issue
AIMS Mathematics 2022, 7(5): 7569-7594
Published: 15 May 2022
Downloads:1
Open Access
Research Article
Issue
AIMS Mathematics 2024, 9(7): 18860-18896
Published: 15 July 2024
Downloads:1
The focus of this paper lies in exploring the limiting dynamics of stochastic FitzHugh-Nagumo delay lattice systems with long-range interactions and nonlinear noise in weighted space. To begin, we established the well-posedness of solutions to these stochastic delay lattice systems and subsequently proved the existence and uniqueness of invariant measures.
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