Invariant measures of stochastic delay lattice systems
type: Item
instance of: scholarly article
title: Invariant measures of stochastic delay lattice systems
zbMATH Open document ID: 1471.37070
author: Zhang Chen
author: Bixiang Wang
author: Xiliang Li
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2021-06-17T00:00:00Z
Mathematics Subject Classification ID: 37L60
Mathematics Subject Classification ID: 37L40
Mathematics Subject Classification ID: 37L55
Mathematics Subject Classification ID: 34F05
zbMATH DE Number: 7360455
zbMATH Keywords: invariant measure
zbMATH Keywords: noise
zbMATH Keywords: stochastic delay equation
zbMATH Keywords: lattice system
MaRDI profile type: Publication
full work available at URL: dcdsb.2020226
OpenAlex ID: W3044130543
cites work: CHAOS OF TRAVELING WAVES IN A DISCRETE CHAIN OF DIFFUSIVELY COUPLED MAPS
cites work: Traveling Waves of Bistable Dynamics on a Lattice
cites work: A discrete convolution model for phase transitions
cites work: ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
cites work: ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
cites work: Attractors of non-autonomous stochastic lattice systems in weighted spaces
cites work: Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons
cites work: Attractors of reaction diffusion systems on infinite lattices
cites work: Invariant measures for stochastic nonlinear beam and wave equations
cites work: Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains
cites work: Invariant measures for stochastic functional differential equations
cites work: Existence of exponentially attracting stationary solutions for delay evolution equations
cites work: The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion
cites work: Attractors for stochastic lattice dynamical systems with a multiplicative noise
cites work: Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
cites work: Traveling waves in lattice dynamical systems
cites work: Q4342894
cites work: Dynamics in a Discrete Nagumo Equation: Spatial Topological Chaos
cites work: The CNN paradigm
cites work: Cellular neural networks: theory
cites work: Invariant measures for stochastic partial differential equations in unbounded domains
cites work: Analysis and computation of travelling wave solutions of bistable differential-difference equations
cites work: Traveling wave solutions for bistable differential-difference equations with periodic diffusion
cites work: Propagating waves in discrete bistable reaction-diffusion systems
cites work: Invariant measures for stochastic functional differential equations with superlinear drift term
cites work: RANDOM DIFFERENTIAL EQUATIONS WITH RANDOM DELAYS
cites work: Q4003237
cites work: Functional differential equations with infinite delays
cites work: Introduction to functional differential equations
cites work: Random attractors for stochastic sine-Gordon lattice systems with multiplicative white noise
cites work: Random attractors for stochastic lattice dynamical systems in weighted spaces
cites work: Non-autonomous lattice systems with switching effects and delayed recovery
cites work: Asymptotic behaviors for second order stochastic lattice dynamical systems on \(\mathbb Z^k\) in weighted spaces
cites work: Functional differential equations with infinite delay
cites work: On stationary solutions of a stochastic differential equation
cites work: Global existence and compact attractors for the discrete nonlinear Schrödinger equation
cites work: Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
cites work: On the stochastic Burgers equation with a polynomial nonlinearity in the real line
cites work: On the stochastic Benjamin--Ono equation
cites work: Invariant measures for a stochastic nonlinear Schroedinger equation
cites work: Global stability for infinite delay Lotka--Volterra type systems
cites work: The LaSalle-type theorems for stochastic functional differential equations
cites work: Razumikhin-type theorems on exponential stability of stochastic functional differential equations
cites work: PEANO'S THEOREM AND ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
cites work: Existence and uniqueness of invariant measures for stochastic reaction-diffusion equations in unbounded domains
cites work: Q3707054
cites work: Q4274312
cites work: On autonomous linear functional differential equations with infinite retardations
cites work: On linear autonomous retarded equations with an abstract phase space for infinite delay
cites work: Delay differential equations driven by Lévy processes: stationarity and Feller properties
cites work: Qualitative behaviour of stochastic delay equations with a bounded memory
cites work: Dynamics of systems on infinite lattices
cites work: Dynamics of stochastic reaction-diffusion lattice systems driven by nonlinear noise
cites work: Asymptotic behavior of stochastic Schrödinger lattice systems driven by nonlinear noise
cites work: Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise
cites work: Random Attractors for Delay Parabolic Equations with Additive Noise and Deterministic Nonautonomous Forcing
cites work: Exponential stability of non-autonomous stochastic delay lattice systems with multiplicative noise
cites work: Stochastic functional differential equations with infinite delay: existence and uniqueness of solutions, solution maps, Markov properties, and ergodicity
cites work: Existence of traveling wavefront solutions for the discrete Nagumo equation

Invariant measures of stochastic delay lattice systems (DOI)
DOI: 10.3934/DCDSB.2020226