TY  - JOUR
AU  - Li, Xintao
PY  - 2022
TI  - Wong-Zakai approximations and long term behavior of second order non-autonomous stochastic lattice dynamical systems with additive noise
JO  - AIMS Mathematics
SP  - 7569
EP  - 7594
VL  - 7
IS  - 5
AB  - 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.
UR  - https://doi.org/10.3934/math.2022425
DO  - 10.3934/math.2022425