Asymptotic behavior of stochastic Fitzhugh-Nagumo systems on unbounded thin domains

DOI10.1016/j.jde.2019.05.002zbMath1414.35270OpenAlexW2945014804MaRDI QIDQ2420551

Lin Shi, Bixiang Wang, Renhai Wang, Kening Lu

Publication date: 6 June 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.05.002

zbMATH Keywords

upper semicontinuitywhite noisethin domainrandom attractorstochastic Fitzhugh-Nagumo system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) PDEs with randomness, stochastic partial differential equations (35R60)

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Cites Work

• Unnamed Item
• Unnamed Item
• Fractal dimension of random attractor for stochastic non-autonomous damped wave equation with linear multiplicative white noise
• Random attractors for non-autonomous stochastic wave equations with multiplicative noise
• Random dynamics of the 3D stochastic Navier-Stokes-Voight equations
• Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
• Regularity of pullback random attractors for stochastic FitzHugh-Nagumo system on unbounded domains
• Dynamics of the 3-D fractional complex Ginzburg-Landau equation
• The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion
• Semilinear parabolic problems in thin domains with a highly oscillatory boundary
• Random attractors for a class of stochastic partial differential equations driven by general additive noise
• Reaction-diffusion equations on unbounded thin domains
• Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains
• Asymptotic behavior of stochastic fractional power dissipative equations on \(\mathbb{R}^n\)
• Random attractors for the stochastic FitzHugh-Nagumo system on unbounded domains
• Non-autonomous and random attractors for delay random semilinear equations without uniqueness
• Random attractors for the stochastic Benjamin-Bona-Mahony equation on unbounded domains
• Regular measurable dynamics for reaction-diffusion equations on narrow domains with rough noise
• Asymptotic behavior of random FitzHugh-Nagumo systems driven by colored noise
• Regularity of random attractors for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\)
• Asymptotic behavior of stochastic complex Ginzburg-Landau equations with deterministic non-autonomous forcing on thin domains
• Distance of attractors of reaction-diffusion equations in thin domains
• Attractors for reaction-diffusion equations in unbounded domains
• Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
• Attractors for reaction-diffusion equations on thin domains whose linear part is non-self-adjoint
• Reaction-diffusion equation on thin domains
• Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing
• Random attractors for degenerate stochastic partial differential equations
• Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
• Continuity and random dynamics of the non-autonomous stochastic FitzHugh-Nagumo system on \(\mathbb{R}^N\)
• Random attractor for stochastic lattice dynamical systems with \(\alpha\)-stable Lévy noises
• Asymptotic behavior of non-autonomous fractional stochastic reaction-diffusion equations
• Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains
• Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains
• Continuity of attractors for net-shaped thin domains
• Attractors for lattice fitzHugh--Nagumo systems
• Random attractors for singular stochastic evolution equations
• Synchronization of a Stochastic Reaction‐Diffusion System on a Thin Two‐Layer Domain
• A Damped Hyperbolic Equation on Thin Domains
• A one-point attractor theory for the Navier-Stokes equation on thin domains with no-slip boundary conditions
• Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
• Curved thin domains and parabolic equations
• A reaction-diffusion equation on a thin L-shaped domain
• REGULARITY OF PULLBACK ATTRACTORS AND RANDOM EQUILIBRIUM FOR NON-AUTONOMOUS STOCHASTIC FITZHUGH-NAGUMO SYSTEM ON UNBOUNDED DOMAINS
• Asymptotic behavior of stochastic wave equations with critical exponents on $\mathbb{R}^{3}$
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
• Flattening, squeezing and the existence of random attractors
• The effect of domain squeezing upon the dynamics of reaction-diffusion equations

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