Dynamics of Hodgkin–Huxley systems revisited

DOI10.1080/00036811.2010.484388zbMath1204.35028OpenAlexW2075800297MaRDI QIDQ3580884

Ahmed Bonfoh

Publication date: 13 August 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.484388

zbMATH Keywords

exponential attractors

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Singular perturbations in context of PDEs (35B25) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Robust exponential attractors for singularly perturbed Hodgkin-Huxley equations
• Existence and continuity of uniform exponential attractors of the singularity perturbed Hodgkin-Huxley system
• Uniform exponential attractors for a singularly perturbed damped wave 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
• Exponential attractors for a nonlinear reaction-diffusion system in
• Finite-Dimensional Attractors Associated with Partly Dissipative Reaction-Diffusion Systems
• Exponential attractors for a singularly perturbed Cahn‐Hilliard system
• A construction of a robust family of exponential attractors
• Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems
• Exponential attractors in Banach spaces.

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