Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems

DOI10.1080/10236198.2022.2027396zbMath1500.34064OpenAlexW4207004762MaRDI QIDQ5067765

Qiangheng Zhang

Publication date: 4 April 2022

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2022.2027396

zbMATH Keywords

upper semicontinuityinvariant measurepullback attractorlattice dynamical systemdelay FitzHugh-Nagumo system

Mathematics Subject Classification ID

Neural biology (92C20) Asymptotic theory of functional-differential equations (34K25) Lattice functional-differential equations (34K31)

Related Items

Limiting dynamics for stochastic delay \(p\)-Laplacian equation on unbounded thin domains ⋮ Dynamics of stochastic FitzHugh–Nagumo system on unbounded domains with memory

Cites Work

• Unnamed Item
• Upper semicontinuity of pullback attractors for lattice nonclassical diffusion delay equations under singular perturbations
• Exponential stability of non-autonomous stochastic delay lattice systems with multiplicative noise
• On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems
• Attractors for infinite-dimensional non-autonomous dynamical systems
• Stochastic FitzHugh-Nagumo systems with delay
• Asymptotic behaviour of a logistic lattice system
• Invariant measures for non-autonomous dissipative dynamical systems
• Global attractor for a class of retarded lattice dynamical systems
• The attractors for 2nd-order stochastic delay lattice systems
• Invariant measures for dissipative systems and generalised Banach limits
• Uniform exponential attractors for first order non-autonomous lattice dynamical systems
• Discretisation of global attractors for lattice dynamical systems
• Dynamics of systems on infinite lattices
• Asymptotic behavior of non-autonomous lattice systems
• Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice systems
• Attractors for second order lattice dynamical systems
• Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations
• Attractors for first-order dissipative lattice dynamical systems
• Lattice dynamical systems: dissipative mechanism and fractal dimension of global and exponential attractors
• Pullback attractors for a class of nonlinear lattices with delays
• The asymptotic behaviour of fractional lattice systems with variable delay
• Attractors and dimension of dissipative lattice systems
• Attractors for non-autonomous retarded lattice dynamical systems
• Compact kernel sections for lattice systems with delays
• Attractors for lattice fitzHugh--Nagumo systems
• Non-autonomous lattice systems with switching effects and delayed recovery
• Asymptotic Behavior of a Nonautonomous p-Laplacian Lattice System
• Existence of backwards-compact pullback attractors for non-autonomous lattice dynamical systems
• Uniform global attractors for first order non-autonomous lattice dynamical systems
• Attractors of retarded first order lattice systems
• ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
• Exponential attractors for lattice dynamical systems in weighted spaces