Weak mean attractor and periodic measure for stochastic lattice systems driven by Lévy noises
DOI10.1080/07362994.2022.2038624zbMath1521.37093OpenAlexW4220861007MaRDI QIDQ6046009
Dandan Yang, Zhang Chen, Shitao Zhong
Publication date: 15 May 2023
Published in: Stochastic Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/07362994.2022.2038624
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)
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Cites Work
- Unnamed Item
- Existence and uniqueness of invariant measures for stochastic reaction-diffusion equations in unbounded domains
- On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems
- Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
- Random exponential attractor for cocycle and application to non-autonomous stochastic lattice systems with multiplicative white noise
- Ergodicity of stochastic 2D Navier-Stokes equation with Lévy noise
- Random attractors for stochastic lattice dynamical systems in weighted spaces
- Synchronization of systems of Marcus canonical equations driven by \(\alpha \)-stable noises
- On the stochastic Benjamin--Ono equation
- On the uniqueness of invariant measure of the Burgers equation driven by Lévy processes
- Traveling waves in lattice dynamical systems
- Existence and uniqueness theorems for periodic Markov process and applications to stochastic functional differential equations
- Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains
- Periodic solutions of stochastic differential equations driven by Lévy noises
- Long-time dynamics of stochastic lattice plate equations with nonlinear noise and damping
- Invariant measures of stochastic delay lattice systems
- Random attractors for stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
- Stochastic dynamics of a neural field lattice model with state dependent nonlinear noise
- Limiting behavior of invariant measures of stochastic delay lattice systems
- On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity
- Periodic measures of stochastic delay lattice systems
- Random dynamics of \(p\)-Laplacian lattice systems driven by infinite-dimensional nonlinear noise
- Random attractor for stochastic lattice dynamical systems with \(\alpha\)-stable Lévy noises
- Dynamics of stochastic reaction-diffusion lattice systems driven by nonlinear noise
- Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise
- Weak pullback attractors for mean random dynamical systems in Bochner spaces
- Attractors for stochastic lattice dynamical systems with a multiplicative noise
- Attractors for lattice fitzHugh--Nagumo systems
- Invariant measures for stochastic nonlinear beam and wave equations
- Invariant measures for stochastic partial differential equations in unbounded domains
- Stability of Regime-Switching Jump Diffusions
- Asymptotic Stability of Stochastic Differential Equations Driven by Lévy Noise
- Lévy Processes and Stochastic Calculus
- Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
- Upper semi-continuous convergence of attractors for a Hopfield-type lattice model
- Global well-posedness and long-term behavior of discrete reaction-diffusion equations driven by superlinear noise
- Asymptotic behavior of stochastic Schrödinger lattice systems driven by nonlinear noise
- Random attractors for stochastic differential equations driven by two-sided Lévy processes
- Stochastic Partial Differential Equations with Levy Noise
- ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
- Invariant measures for a stochastic nonlinear Schroedinger equation
- ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
- Limit measures and ergodicity of fractional stochastic reaction–diffusion equations on unbounded domains
- Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems
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