Random dynamics of \(p\)-Laplacian lattice systems driven by infinite-dimensional nonlinear noise
From MaRDI portal
Publication:2229692
DOI10.1016/j.spa.2020.08.002zbMath1462.34036OpenAlexW3049192344MaRDI QIDQ2229692
Publication date: 18 February 2021
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spa.2020.08.002
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Attractors of solutions to ordinary differential equations (34D45) Ordinary lattice differential equations (34A33) Stability theory for random and stochastic dynamical systems (37H30)
Related Items
Random attractor for second-order stochastic delay lattice sine-Gordon equation ⋮ Periodic measures of reaction-diffusion lattice systems driven by superlinear noise ⋮ Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System ⋮ Asymptotic behavior of non-autonomous Lamé systems with subcritical and critical mixed nonlinearities ⋮ Existence and approximation of attractors for nonlinear coupled lattice wave equations ⋮ On backward problems for stochastic fractional reaction equations with standard and fractional Brownian motion ⋮ Periodic measures of impulsive stochastic Hopfield-type lattice systems ⋮ Non-autonomous stochastic lattice systems with Markovian switching ⋮ Weak mean attractor and periodic measure for stochastic lattice systems driven by Lévy noises ⋮ Invariant measures for stochastic delay nonlocal lattice dynamical systems ⋮ Mean attractors of stochastic delay lattice \(p\)-Laplacian equations driven by superlinear noise in high-order product Bochner spaces ⋮ Random attractors and invariant measures for stochastic convective Brinkman-Forchheimer equations on 2D and 3D unbounded domains ⋮ Stochastic 3D globally modified Navier-Stokes equations: weak attractors, invariant measures and large deviations ⋮ Mean random attractors of stochastic lattice fractional delay Gray-Scott equations in higher moment product sequence spaces ⋮ Ergodicity and approximations of invariant measures for stochastic lattice systems with Markovian switching ⋮ Existence of weak pullback mean random attractors for stochastic Schrödinger lattice systems driven by superlinear noise ⋮ Random attractor, invariant measures, and ergodicity of lattice \(p\)-Laplacian equations driven by superlinear noise ⋮ TERMINAL VALUE PROBLEM FOR STOCHASTIC FRACTIONAL EQUATION WITHIN AN OPERATOR WITH EXPONENTIAL KERNEL ⋮ Limiting dynamics of stochastic complex Ginzburg–Landau lattice systems with long-range interactions in weighted space ⋮ Weak mean attractors of stochastic \(p\)-Laplacian delay lattice systems driven by nonlinear noise ⋮ Global well-posedness, mean attractors and invariant measures of generalized reversible Gray-Scott lattice systems driven by nonlinear noise ⋮ Evolution systems of probability measures for nonautonomous Klein-Gordon Itô equations on \(\mathbb{Z}^N\) ⋮ Large deviation principles of stochastic reaction-diffusion lattice systems ⋮ Regularity of pullback random attractors and invariant sample measures for nonautonomous stochastic \(p\)-Laplacian lattice systems ⋮ Asymptotically Autonomous Robustness in Probability of Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Poincaré Domains ⋮ Dynamics for subcritical fractional nonclassical diffusion equations with nonlinear Wong-zakai noise and delays ⋮ Long-time dynamics of fractional nonclassical diffusion equations with nonlinear colored noise and delay on unbounded domains ⋮ Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice equations ⋮ Three types of weak pullback attractors for lattice pseudo-parabolic equations driven by locally Lipschitz noise ⋮ Limiting behavior of invariant measures of highly nonlinear stochastic retarded lattice systems ⋮ Controller and asymptotic autonomy of random attractors for stochastic p-Laplace lattice equations ⋮ Attractors for multi-valued lattice dynamical systems with nonlinear diffusion terms ⋮ Existence and asymptotic stability for lattice stochastic integrodifferential equations with infinite delays
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractal dimension of random attractor for stochastic non-autonomous damped wave equation with linear multiplicative white noise
- Asymptotic behavior of stochastic lattice systems with a Caputo fractional time derivative
- Regularity of random attractors for a degenerate parabolic equations driven by additive noises
- Finite fractal dimensions of random attractors for stochastic FitzHugh-Nagumo system with multiplicative white noise
- A general approach to the asymptotic behavior of traveling waves in a class of three-component lattice dynamical systems
- Existence and uniqueness of invariant measures for stochastic reaction-diffusion equations in unbounded domains
- Exponential stability of non-autonomous stochastic delay lattice systems with multiplicative noise
- Random attractors for non-autonomous stochastic wave equations with multiplicative noise
- Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
- Mean-square random dynamical systems
- 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
- The attractors for 2nd-order stochastic delay lattice systems
- Long-time random dynamics of stochastic parabolic \(p\)-Laplacian equations on \(\mathbb{R}^N\)
- Uniform attractors for non-autonomous random dynamical systems
- Random exponential attractor for cocycle and application to non-autonomous stochastic lattice systems with multiplicative white noise
- The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion
- Random attractors for a class of stochastic partial differential equations driven by general additive noise
- Random attractors for stochastic lattice dynamical systems in weighted spaces
- Ergodicity of the infinite dimensional fractional Brownian motion
- Asymptotic behaviors for second order stochastic lattice dynamical systems on \(\mathbb Z^k\) in weighted spaces
- Pullback exponential attractors for non-autonomous lattice systems
- Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains
- Dynamics of systems on infinite lattices
- On the stochastic Benjamin--Ono equation
- Asymptotic behavior of non-autonomous lattice systems
- The existence of traveling wave solutions for a bistable three-component lattice dynamical system
- Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise
- Non-autonomous and random attractors for delay random semilinear equations without uniqueness
- Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type
- Random attractors for the stochastic Benjamin-Bona-Mahony equation on unbounded domains
- Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications
- Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system
- Random attractors for second-order stochastic lattice dynamical systems
- Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
- Propagating waves in discrete bistable reaction-diffusion systems
- Attractors for random dynamical systems
- Random attractors
- Measurability of random attractors for quasi strong-to-weak continuous random dynamical systems
- Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains
- An infinite 3-D quasiperiodic lattice of chaotic attractors
- Compactness and attracting of random attractors for non-autonomous stochastic lattice dynamical systems in weighted space \(\ell_\rho^p\)
- Invariant forward attractors of non-autonomous random dynamical systems
- Attractors for reaction-diffusion equations in unbounded domains
- Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
- Random attractors for degenerate stochastic partial differential equations
- Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
- Random dynamics of stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\) with an unbounded additive noise
- Asymptotic behavior of a neural field lattice model with a heaviside operator
- 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 of non-autonomous stochastic lattice systems in weighted spaces
- Random attractors for stochastic reaction-diffusion equations on unbounded domains
- Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains
- Random dynamics of fractional nonclassical diffusion equations driven by colored noise
- On the stochastic Burgers equation with a polynomial nonlinearity in the real line
- Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations
- Non-autonomous lattice systems with switching effects and delayed recovery
- Invariant measures for stochastic nonlinear beam and wave equations
- Random attractors for singular stochastic evolution equations
- Invariant measures for stochastic partial differential equations in unbounded domains
- RANDOM ATTRACTORS FOR SECOND ORDER STOCHASTIC LATTICE DYNAMICAL SYSTEMS WITH MULTIPLICATIVE NOISE IN WEIGHTED SPACES
- PROOF OF SYNCHRONIZED CHAOTIC BEHAVIORS IN COUPLED MAP LATTICES
- RANDOM DIFFERENTIAL EQUATIONS WITH RANDOM DELAYS
- Random attractor of non-autonomous stochastic Boussinesq lattice system
- Global stability of traveling wave fronts for a reaction–diffusion system with a quiescent stage on a one-dimensional spatial lattice
- Upper semicontinuity of random attractors of stochastic discrete complex Ginzburg–Landau equations with time-varying delays in the delay
- Upper semicontinuity of attractors of stochastic delay reaction-diffusion equations in the delay
- Dynamic behavior of stochastic p-Laplacian-type lattice equations
- Asymptotic behavior of stochastic wave equations with critical exponents on $\mathbb{R}^{3}$
- Random Attractors for Delay Parabolic Equations with Additive Noise and Deterministic Nonautonomous Forcing
- Uniform Exponential Attractor for Second Order Lattice System with Quasi-Periodic External Forces in Weighted Space
- Tempered random attractors for parabolic equations in weighted spaces
- Flattening, squeezing and the existence of random attractors
- ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
- Invariant measures for a stochastic nonlinear Schroedinger equation
- ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
- Exponential attractors for lattice dynamical systems in weighted spaces
- Stochastic Equations in Infinite Dimensions