We study the asymptotic behavior of solutions to a class of non-autonomous stochastic
lattice systems driven by multiplicative white noise. We prove the existence and uniqueness …

In this paper, we first provide some sufficient conditions for the existence of global compact
random attractors for general random dynamical systems in weighted space lρp (p⩾ 1) of …

This paper is concerned with the dynamics of the stochastic reaction–diffusion lattice
systems defined on the entire integer set driven by locally Lipschitz nonlinear noise. We …

In this paper, we study the Wong-Zakai approximations given by a stationary process via the
Wiener shift and their associated long term pathwise behavior for the stochastic lattice …

We study asymptotic stability of a class of non-autonomous stochastic delay lattice systems
driven by a multiplicative white noise. Under certain conditions, we prove such systems have …

This paper is concerned with the existence and uniqueness of invariant measures for infinite-
dimensional stochastic delay lattice systems defined on the entire integer set. For Lipschitz …

We study the random dynamics of the N-dimensional stochastic Schrödinger lattice systems
with locally Lipschitz diffusion terms driven by locally Lipschitz nonlinear noise. We first …

This paper is concerned with the large deviation principle of the stochastic reaction-diffusion
lattice systems defined on the N-dimensional integer set, where the nonlinear drift term is …

In this article, we first provide a sufficient and necessary condition for the existence of a
pullback-D attractor for the process defined on a Hilbert space of infinite sequences. As an …

The asymptotic behavior of non-autonomous infinite-dimensional lattice systems is studied.
It is shown that the non-autonomous lattice reaction–diffusion system has a compact uniform …