Convergence of singularly perturbed Hodgkin-Huxley systems
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Publication:4290954
DOI10.1016/0362-546X(94)90027-2zbMath0852.35011MaRDI QIDQ4290954
Mary E. Parrott, William Edward Fitzgibbon
Publication date: 9 December 1996
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Second-order nonlinear hyperbolic equations (35L70)
Related Items (4)
Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin–Huxley equation ⋮ Dynamics of Hodgkin–Huxley systems revisited ⋮ Existence and continuity of uniform exponential attractors of the singularity perturbed Hodgkin-Huxley system ⋮ Robust exponential attractors for singularly perturbed Hodgkin-Huxley equations
Cites Work
- Models of dispersal in biological systems
- Semigroups of linear operators and applications to partial differential equations
- A hyperbolic system from a neural transmission model
- Lower semicontinuity of the attractor for a singularly perturbed hyperbolic equation
- Singular perturbations for the Cauchy problem and for boundary value problems
- Non-linear semi-groups
- Singular Perturbations for Nonlinear Hyperbolic-Parabolic Problems
- An initial-boundary value problem of physiological significance for equations of nerve conduction
- A Bifurcation Problem for a Nonlinear Hyperbolic Partial Differential Equation
- Singular perturbations of Cauchy's problem
- Theory of Random Evolutions with Applications to Partial Differential Equations
- Regular degeneration and boundary layer for linear differential equations with small parameter
- Mathematical Aspects of Hodgkin-Huxley Neural Theory
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