Existence and continuity of uniform exponential attractors of the singularity perturbed Hodgkin-Huxley system
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Publication:1265133
DOI10.1006/jdeq.1997.3357zbMath0912.35030OpenAlexW2093443583MaRDI QIDQ1265133
Publication date: 3 February 1999
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1997.3357
Asymptotic behavior of solutions to PDEs (35B40) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Singular perturbations in context of PDEs (35B25)
Related Items (4)
Asymptotic behavior of a class of reaction--diffusion equations with delays ⋮ Dynamics of Hodgkin–Huxley systems revisited ⋮ Long time behavior of a singular perturbation of the viscous Cahn–Hilliard–Gurtin equation ⋮ Robust exponential attractors for singularly perturbed Hodgkin-Huxley equations
Cites Work
- Attractors for damped nonlinear hyperbolic equations
- Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
- A regular approach to a problem of the attractors of singularly perturbed equations
- Exponential attractors for the slightly compressible \(2\)D-Navier-Stokes
- Lower semicontinuity of the attractor for a singularly perturbed hyperbolic equation
- Exponential attractors of reaction-diffusion systems in an unbounded domain
- Finite dimensionality and upper semicontinuity of the global attractor of singularly perturbed Hodgkin-Huxley systems
- Convergence of singularly perturbed Hodgkin-Huxley systems
- Finite-Dimensional Attractors Associated with Partly Dissipative Reaction-Diffusion Systems
- Mathematical Aspects of Hodgkin-Huxley Neural Theory
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