Dynamical stability of random delayed FitzHugh–Nagumo lattice systems driven by nonlinear Wong–Zakai noise
From MaRDI portal
Publication:5884768
DOI10.1063/5.0125383OpenAlexW4308587140MaRDI QIDQ5884768
Shuang Yang, Tomás Caraballo Garrido, Yang-rong Li
Publication date: 24 March 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0125383
Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) 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)
Related Items
Limiting dynamics of stochastic complex Ginzburg–Landau lattice systems with long-range interactions in weighted space, Well-posedness and dynamics of stochastic retarded FitzHugh-Nagumo lattice systems
Cites Work
- Unnamed Item
- Unnamed Item
- A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations
- On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems
- Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
- A lattice Boltzmann model for reaction dynamical systems with time delay
- Wong-Zakai approximations of stochastic evolution equations
- Compact uniform attractors for dissipative lattice dynamical systems with delays
- Pullback attractors for the non-autonomous FitzHugh-Nagumo system on unbounded domains
- Approximations of solutions of stochastic differential equations driven by semimartingales
- On weak convergence of sequences of continuous local martingales
- Weak limit theorems for stochastic integrals and stochastic differential equations
- On the gap between deterministic and stochastic ordinary differential equations
- Propagating waves in discrete bistable reaction-diffusion systems
- Measurability of random attractors for quasi strong-to-weak continuous random dynamical systems
- Asymptotic behavior of random Navier-Stokes equations driven by Wong-Zakai approximations
- Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
- Continuous Wong-Zakai approximations of random attractors for quasi-linear equations with nonlinear noise
- Almost continuity of a pullback random attractor for the stochastic \(g\)-Navier-Stokes equation
- Continuity of random attractors on a topological space and fractional delayed Fitzhugh-Nagumo equations with WZ-noise
- Odd random attractors for stochastic non-autonomous Kuramoto-Sivashinsky equations without dissipation
- Higher-order Wong-Zakai approximations of stochastic reaction-diffusion equations on \(\mathbb{R}^N\)
- Wong-Zakai approximations and long term behavior of stochastic partial differential equations
- Asymptotic behavior of random lattice dynamical systems and their Wong-Zakai approximations
- Attractors of non-autonomous stochastic lattice systems in weighted spaces
- Random attractors for stochastic reaction-diffusion equations on unbounded domains
- On the relation between ordinary and stochastic differential equations
- Box-counting dimensions and upper semicontinuities of bi-spatial attractors for stochastic degenerate parabolic equations on an unbounded domain
- Wong-Zakai approximation of solutions to reflecting stochastic differential equations on domains in Euclidean spaces
- 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
- Wong-Zakai approximation for the stochastic Landau-Lifshitz-Gilbert equations
- Heteroclinic chaotic behavior driven by a Brownian motion
- Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms
- Random attractor of non-autonomous stochastic Boussinesq lattice system
- Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons
- Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains
- Upper Semicontinuity of Random Attractors for Non-compact Random Dynamical Systems
- Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
- An interpretation of stochastic differential equations as ordinary differential equations which depend on the sample point
- Upper semicontinuity of attractors of stochastic delay reaction-diffusion equations in the delay
- Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam
- Asymptotic autonomous attractors for a stochastic lattice model with random viscosity
- Random dynamics of fractional stochastic reaction-diffusion equations on Rn without uniqueness
- Existence and upper semicontinuity of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations
- On the Convergence of Ordinary Integrals to Stochastic Integrals
