Random attractors for second-order stochastic lattice dynamical systems
From MaRDI portal
Publication:1049528
DOI10.1016/j.na.2009.06.094zbMath1181.60103OpenAlexW1985041173MaRDI QIDQ1049528
Xiaohu Wang, Shuyong Li, Dao Yi Xu
Publication date: 12 January 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.06.094
Related Items (61)
Dynamics of non-autonomous first order lattice systems in weighted spaces ⋮ Random attractors for stochastic discrete complex non-autonomous Ginzburg-Landau equations with multiplicative noise ⋮ Random attractor for second-order stochastic delay lattice sine-Gordon equation ⋮ Existence and upper semicontinuity of attractors for non-autonomous stochastic lattice Fitzhugh-Nagumo systems in weighted spaces ⋮ Limiting behavior of invariant measures of stochastic delay lattice systems ⋮ Random attractors for the stochastic coupled fractional Ginzburg-Landau equation with additive noise ⋮ Wong–Zakai approximations of second-order stochastic lattice systems driven by additive white noise ⋮ Exponential stability of non-autonomous stochastic delay lattice systems with multiplicative noise ⋮ Existence and upper semicontinuity of attractors for non-autonomous stochastic lattice systems with random coupled coefficients ⋮ Random attractor of non-autonomous stochastic Boussinesq lattice system ⋮ Asymptotic behavior of non-autonomous fractional stochastic lattice systems with multiplicative noise ⋮ Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems ⋮ Upper semicontinuity of random attractors of stochastic discrete complex Ginzburg–Landau equations with time-varying delays in the delay ⋮ On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems ⋮ Existence and upper semicontinuity of attractors for nonautonomous stochastic sine-Gordon lattice systems with random coupled coefficients ⋮ Random attractor for a stochastic viscous coupled Camassa-Holm equation ⋮ Random attractors for stochastic lattice dynamical systems in weighted spaces ⋮ Invariant measures for stochastic delay nonlocal lattice dynamical systems ⋮ Random attractors for stochastic sine-Gordon lattice systems with multiplicative white noise ⋮ Upper-semicontinuity of attractors for random lattice systems perturbed by small white noises ⋮ Random uniform attractors for first order stochastic non-autonomous lattice systems ⋮ Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities ⋮ Unnamed Item ⋮ A random attractor for a stochastic second order lattice system with random coupled coefficients ⋮ Existence and upper semicontinuity of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations ⋮ Periodic measures of stochastic delay lattice systems ⋮ Existence of random attractors for a class of second-order lattice dynamical systems with Brownian motions ⋮ Random exponential attractor for second order non-autonomous stochastic lattice dynamical systems with multiplicative white noise in weighted spaces ⋮ Regular random attractors for non-autonomous stochastic evolution equations with time-varying delays on thin domains ⋮ Random dynamics of \(p\)-Laplacian lattice systems driven by infinite-dimensional nonlinear noise ⋮ Asymptotic behavior of stochastic discrete wave equations with nonlinear noise and damping ⋮ Upper semicontinuity of attractors of stochastic delay reaction-diffusion equations in the delay ⋮ The attractors for 2nd-order stochastic delay lattice systems ⋮ Uniform Exponential Attractor for Second Order Lattice System with Quasi-Periodic External Forces in Weighted Space ⋮ Random attractors for stochastic discrete Klein-Gordon-Schrödinger equations driven by fractional Brownian motions ⋮ RANDOM ATTRACTORS FOR NON-AUTONOMOUS FRACTIONAL STOCHASTIC GINZBURG-LANDAU EQUATIONS ON UNBOUNDED DOMAINS ⋮ Random attractors for stochastic retarded lattice dynamical systems ⋮ A Combined Criterion for Existence and Continuity of Random Attractors for Stochastic Lattice Dynamical Systems ⋮ Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg–Landau equations with multiplicative noise ⋮ Asymptotic behaviors for second order stochastic lattice dynamical systems on \(\mathbb Z^k\) in weighted spaces ⋮ Random attractors for stochastic three-component reversible Gray-Scott system on infinite lattices ⋮ Long-time dynamics of stochastic lattice plate equations with nonlinear noise and damping ⋮ Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains ⋮ Pathwise solution to rough stochastic lattice dynamical system driven by fractional noise ⋮ Asymptotic Dynamics of Stochastic Lattice Differential Equations: A Review ⋮ Random attractor for stochastic second-order non-autonomous stochastic lattice equations with dispersive term ⋮ Random exponential attractor for second-order nonautonomous stochastic lattice systems with multiplicative white noise ⋮ Random dynamics for non-autonomous stochastic evolution equations without uniqueness on unbounded narrow domains ⋮ Random attractor for stochastic lattice dynamical systems with \(\alpha\)-stable Lévy noises ⋮ Singleton sets random attractor for stochastic FitzHugh-Nagumo lattice equations driven by fractional Brownian motions ⋮ Dynamical behavior of non-autonomous fractional stochastic reaction-diffusion equations ⋮ Random attractor and exponentially stability for the second order nonautonomous retarded lattice systems with multiplicative white noise ⋮ Asymptotic behavior of stochastic partly dissipative lattice systems in weighted spaces ⋮ Dynamics of non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise ⋮ Limiting behavior of fractional stochastic integro-differential equations on unbounded domains ⋮ Pullback exponential attractor for second order nonautonomous lattice system ⋮ Regularity of random attractors for non-autonomous stochastic discrete complex Ginzburg-Landau equations ⋮ RANDOM ATTRACTORS OF STOCHASTIC LATTICE DYNAMICAL SYSTEMS DRIVEN BY FRACTIONAL BROWNIAN MOTIONS ⋮ Limiting behavior of invariant measures of highly nonlinear stochastic retarded lattice systems ⋮ Wong-Zakai approximations and pathwise dynamics of stochastic fractional lattice systems ⋮ Random attractors for stochastic retarded lattice systems
Cites Work
- Unnamed Item
- Attractors for a second order nonautonomous lattice dynamical system with nonlinear damping
- Dynamical behavior for stochastic lattice systems
- Dynamics of systems on infinite lattices
- Asymptotic behavior of non-autonomous lattice systems
- Existence-uniqueness and continuation theorems for stochastic functional differential equations
- Existence of traveling wavefront solutions for the discrete Nagumo equation
- Traveling waves in lattice dynamical systems
- Attractors for random dynamical systems
- Random attractors
- Attractors for second order lattice dynamical systems
- Attractors for reaction-diffusion equations in unbounded domains
- Attractors for first-order dissipative lattice dynamical systems
- A discrete convolution model for phase transitions
- The random attractor of stochastic Fitzhugh-Nagumo equations in an infinite lattice with white noises
- Asymptotic behavior of stochastic discrete complex Ginzburg--Landau equations
- Fractal Dimension of Attractors for a Stochastic Wave Equation with Nonlinear Damping and White Noise
- Chaotic Numerics
- Lifted Lattices, Hyperbolic Structures, and Topological Disorders in Coupled Map Lattices
- Attractors for second-order lattice dynamical systems with damping
- Dynamics in a Discrete Nagumo Equation: Spatial Topological Chaos
- ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
- Random Attractor for Damped Nonlinear Wave Equations with White Noise
- ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
- Attractors for a Damped Stochastic Wave Equation of Sine–Gordon Type with Sublinear Multiplicative Noise
This page was built for publication: Random attractors for second-order stochastic lattice dynamical systems