Threshold phenomena for a reaction-diffusion system
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Publication:1156298
DOI10.1016/0022-0396(83)90043-8zbMath0468.35054OpenAlexW2012978153MaRDI QIDQ1156298
Publication date: 1983
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(83)90043-8
Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15) Physiological, cellular and medical topics (92Cxx)
Related Items (9)
A threshold for a caricature of the nerve equation ⋮ Maximum principles and comparison theorems for semilinear parabolic systems and their applications ⋮ A free boundary arising from a model for nerve conduction ⋮ ANALYTICAL DETERMINATION OF INITIAL CONDITIONS LEADING TO FIRING IN NERVE FIBERS ⋮ EVANS FUNCTIONS AND BIFURCATIONS OF STANDING WAVE FRONTS OF A NONLINEAR SYSTEM OF REACTION DIFFUSION EQUATIONS ⋮ Initiation of propagation in a one-dimensional excitable medium ⋮ Polygonal approximation to the flow on the critical surface for the bistable equation ⋮ Existence and uniqueness of traveling wave front of a nonlinear singularly perturbed system of reaction-diffusion equations with a Heaviside step function ⋮ Evans functions and bifurcations of nonlinear waves of some nonlinear reaction diffusion equations
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- A geometric approach to singular perturbation problems with applications to nerve impulse equations
- Qualitative theory of the Fitz Hugh-Nagumo equations
- Nagumo's equation
- THE EXISTENCE OF PERIODIC SOLUTIONS TO NAGUMO'S EQUATION
- ON THE EXISTENCE OF HOMOCLINIC AND PERIODIC ORBITS FOR THE FITZHUGH-NAGUMO EQUATIONS
- Some Mathematical Problems from Neurobiology
- A Comparison Method for Stability Analysis of Nonlinear Parabolic Problems
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