Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications
DOI10.1016/j.jmaa.2008.12.036zbMath1192.37106OpenAlexW1978612799MaRDI QIDQ1018163
Publication date: 13 May 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.12.036
asymptotic compactnesssine-Gordon equationstochastic lattice dynamical system\(\varepsilon\)-covering numberrandom set attractor
Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Stochastic analysis (60H99) Infinite-dimensional random dynamical systems; stochastic equations (37L55)
Related Items (53)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamical behavior for stochastic lattice systems
- Dynamics of systems on infinite lattices
- Attractors for partly dissipative lattice dynamic systems in weighted spaces
- Asymptotic behavior of non-autonomous lattice systems
- Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices
- Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices
- Compact uniform attractors for dissipative lattice dynamical systems with delays
- Kernel sections for processes and nonautonomous lattice systems
- Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice systems
- Characteristic exponents for a viscous fluid subjected to time dependent forces
- Traveling waves in lattice dynamical systems
- Attractors for random dynamical systems
- Infinite-dimensional dynamical systems in mechanics and physics.
- Random attractors
- Attractors of reaction diffusion systems on infinite lattices
- Invariant manifolds for stochastic partial differential equations.
- Attractors for second order lattice dynamical systems
- Random attractor for a damped sine-Gordon equation with white noise
- Attractors for first-order dissipative lattice dynamical systems
- Stability of random attractors under perturbation and approximation
- Attractors and approximations for lattice dynamical systems
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence
- Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices
- Limiting dynamics for stochastic wave equations
- Limiting behavior of a global attractor for lattice nonclassical parabolic equations
- Fractal dimension of a random invariant set
- Attractors and dimension of dissipative lattice systems
- Equations stochastiques du type Navier-Stokes
- Global existence and compact attractors for the discrete nonlinear Schrödinger equation
- Attractors for lattice fitzHugh--Nagumo systems
- Random Point Attractors Versus Random Set Attractors
- Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
- Cellular neural networks: theory
- The CNN paradigm
- Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
- Finite-dimensional limiting dynamics of random dynamical systems
- Traveling Waves of Bistable Dynamics on a Lattice
- Kolmogorov entropy of global attractor for dissipative lattice dynamical systems
- ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
- Random Attractor for Damped Nonlinear Wave Equations with White Noise
- ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
- The conjugacy of stochastic and random differential equations and the existence of global attractors
- Dynamics of evolutionary equations
- Stochastic Equations in Infinite Dimensions
- Stochastic differential equations. An introduction with applications.
This page was built for publication: Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications