This paper is concerned with the asymptotic behaviour of solutions to a class of non-
autonomous stochastic nonlinear wave equations with dispersive and viscosity dissipative …

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 …

Transitions between regimes with radically different properties are ubiquitous in nature.
Such transitions can occur either smoothly or in an abrupt and catastrophic fashion …

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 asymptotic behavior of solutions of a first-order stochastic lattice
dynamical system with a multiplicative noise. We do not assume any Lipschitz condition on …

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 …

To investigate dynamical behavior of the Hopfield neural network model when its dimension
becomes increasingly large, a Hopfield-type lattice system is developed as the infinite …

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 …

We first establish some sufficient conditions for constructing a random exponential attractor
for a continuous cocycle on a separable Banach space and weighted spaces of infinite …