Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems
From MaRDI portal
Publication:5067765
DOI10.1080/10236198.2022.2027396zbMath1500.34064OpenAlexW4207004762MaRDI QIDQ5067765
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
upper semicontinuityinvariant measurepullback attractorlattice dynamical systemdelay FitzHugh-Nagumo system
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
