Continuity and random dynamics of the non-autonomous stochastic FitzHugh-Nagumo system on \(\mathbb{R}^N\)
type: Item
instance of: scholarly article
title: Continuity and random dynamics of the non-autonomous stochastic FitzHugh-Nagumo system on \(\mathbb{R}^N\)
zbMATH Open document ID: 1417.92033
publication date: 2019-07-03T00:00:00Z
Mathematics Subject Classification ID: 92C20
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7075825
zbMATH Keywords: random dynamical systems
zbMATH Keywords: non-autonomous FitzHugh-Nagumo system
zbMATH Keywords: pullback attractor
zbMATH Keywords: additive noises
zbMATH Keywords: continuity
author: Wenqiang Zhao
MaRDI profile type: Publication
full work available at URL: j.camwa.2018.02.031
OpenAlex ID: W2792062276
cites work: Attractors for lattice fitzHugh--Nagumo systems
cites work: Pullback attractors for the non-autonomous FitzHugh-Nagumo system on unbounded domains
cites work: Random attractors for the stochastic FitzHugh-Nagumo system on unbounded domains
cites work: Random attractors for non-autonomous stochastic FitzHugh-Nagumo systems with multiplicative noise
cites work: Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing
cites work: Finite fractal dimensions of random attractors for stochastic FitzHugh-Nagumo system with multiplicative white noise
cites work: Random attractor for stochastic lattice dynamical systems with \(\alpha\)-stable Lévy noises
cites work: Singleton sets random attractor for stochastic FitzHugh-Nagumo lattice equations driven by fractional Brownian motions
cites work: The random attractor of stochastic Fitzhugh-Nagumo equations in an infinite lattice with white noises
cites work: Random attractors for partly dissipative stochastic lattice dynamical systems1
cites work: Random attractors for non-autonomous stochastic lattice Fitzhugh-Nagumo systems with random coupled coefficients
cites work: A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations
cites work: Regularity of pullback random attractors for stochastic FitzHugh-Nagumo system on unbounded domains
cites work: Random attractors for quasi-continuous random dynamical systems and applications to stochastic reaction-diffusion equations
cites work: Regularity of random attractors for a degenerate parabolic equations driven by additive noises
cites work: Random attractors for stochastic semi-linear degenerate parabolic equations with additive noises
cites work: \((L^{2},L^{p})\)-random attractors for stochastic reaction-diffusion equation on unbounded domains
cites work: Infinite-dimensional dynamical systems. An introduction to dissipative parabolic PDEs and the theory of global attractors
cites work: Continuity of strong solutions of the reaction-diffusion equation in initial data
cites work: Pullback attractors for the norm-to-weak continuous process and application to the nonautonomous reaction-diffusion equations
cites work: The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
cites work: Dynamics for a stochastic reaction-diffusion equation with additive noise
cites work: Continuity and pullback attractors for a non-autonomous reaction-diffusion equation in \(\mathbb R^N\)
cites work: Long-time random dynamics of stochastic parabolic \(p\)-Laplacian equations on \(\mathbb{R}^N\)
cites work: Upper semi-continuity and regularity of random attractors on \(p\)-times integrable spaces and applications
cites work: Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations
cites work: Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
cites work: Attractors for random dynamical systems
cites work: Random attractors
cites work: Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
cites work: Q4210478
cites work: Monotone random systems theory and applications
cites work: Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains
cites work: ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
DOI: 10.1016/J.CAMWA.2018.02.031
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7075825