Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems
DOI10.1016/j.jde.2021.01.026zbMath1462.37086OpenAlexW3128738443MaRDI QIDQ2656291
Kening Lu, Jun Shen, Xiaohu Wang, Bixiang Wang
Publication date: 11 March 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.01.026
Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Infinite-dimensional random dynamical systems; stochastic equations (37L55)
Related Items (20)
Cites Work
- Unnamed Item
- Unnamed Item
- Exponential stability of non-autonomous stochastic delay lattice systems with multiplicative noise
- Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
- Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
- A random attractor for a stochastic second order lattice system with random coupled coefficients
- Random attractors for stochastic lattice dynamical systems in weighted spaces
- Chaotic behavior in differential equations driven by a Brownian motion
- Dynamics of systems on infinite lattices
- Random attractors for second-order stochastic lattice dynamical systems
- Existence of traveling wavefront solutions for the discrete Nagumo equation
- Traveling waves in lattice dynamical systems
- Propagating waves in discrete bistable reaction-diffusion systems
- Attractors of reaction diffusion systems on infinite lattices
- Attractors and approximations for lattice dynamical systems
- A discrete convolution model for phase transitions
- Wong-Zakai approximations and center manifolds of stochastic differential equations
- Wong-Zakai approximations and long term behavior of stochastic partial differential equations
- Attractors of non-autonomous stochastic lattice systems in weighted spaces
- Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains
- Attractors for stochastic lattice dynamical systems with a multiplicative noise
- Global existence and compact attractors for the discrete nonlinear Schrödinger equation
- Heteroclinic chaotic behavior driven by a Brownian motion
- Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms
- Analysis and computation of travelling wave solutions of bistable differential-difference equations
- The CNN paradigm
- Traveling Waves of Bistable Dynamics on a Lattice
- Dynamics in a Discrete Nagumo Equation: Spatial Topological Chaos
- ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
- ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
This page was built for publication: Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems