Asymptotic behavior of non-autonomous fractional stochastic lattice systems with multiplicative noise
DOI10.3934/dcdsb.2021271zbMath1503.37082OpenAlexW3217382576MaRDI QIDQ2162642
Publication date: 8 August 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021271
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) 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)
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Cites Work
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- On a connection between the discrete fractional Laplacian and superdiffusion
- Exponential stability of non-autonomous stochastic delay lattice systems with multiplicative noise
- Waves in neural media. From single neurons to neural fields
- Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
- A random attractor for a stochastic second order lattice system with random coupled coefficients
- Dynamics of the 3-D fractional complex Ginzburg-Landau equation
- Ten equivalent definitions of the fractional Laplace operator
- Random attractors for stochastic lattice dynamical systems in weighted spaces
- Random recurrent neural networks with delays
- Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise
- Random attractors for second-order stochastic lattice dynamical systems
- Traveling waves in lattice dynamical systems
- Hardy's inequality for the fractional powers of a discrete Laplacian
- Long term behavior of a random Hopfield neural lattice model
- Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
- Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian
- Regularity of random attractors for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\)
- On the continuum limit for discrete NLS with long-range lattice interactions
- Nonlinear stability of pulse solutions for the discrete FitzHugh-Nagumo equation with infinite-range interactions
- Dynamical behaviors of non-autonomous fractional FitzHugh-Nagumo system driven by additive noise in unbounded domains
- Asymptotic behavior of a neural field lattice model with a heaviside operator
- Attractors of Hopfield-type lattice models with increasing neuronal input
- Limiting dynamical behavior of random fractional Fitzhugh-Nagumo systems driven by a Wong-Zakai approximation process
- Attractors of non-autonomous stochastic lattice systems in weighted spaces
- Asymptotic behavior of non-autonomous fractional stochastic reaction-diffusion equations
- Harmonic analysis associated with a discrete Laplacian
- Random dynamics of fractional nonclassical diffusion equations driven by colored noise
- Attractors for stochastic lattice dynamical systems with a multiplicative noise
- Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems
- Extension Problem and Harnack's Inequality for Some Fractional Operators
- Cellular neural networks: theory
- The CNN paradigm
- Traveling Waves of Bistable Dynamics on a Lattice
- Strong Convergence for Discrete Nonlinear Schrödinger equations in the Continuum Limit
- Upper semi-continuous convergence of attractors for a Hopfield-type lattice model
- Random dynamics of fractional stochastic reaction-diffusion equations on Rn without uniqueness
- An Extension Problem Related to the Fractional Laplacian
- ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
- ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
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