@article{Li2022, 
author = {Xintao Li},
title = {Wong-Zakai approximations and long term behavior of second order non-autonomous stochastic lattice dynamical systems with additive noise},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {7569-7594},
keywords = {Wong-Zakai approximation, lattice systems, random attractor, white noise, upper semicontinuity},
url = {https://www.sciopen.com/article/10.3934/math.2022425},
doi = {10.3934/math.2022425},
abstract = {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.}
}