Stability of travelling front solutions of the FitzHugh-Nagumo equations

DOI10.1016/0895-7177(89)90106-4zbMath0691.35053OpenAlexW2085699281MaRDI QIDQ582460

Eiji Yanagida

Publication date: 1989

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(89)90106-4

zbMATH Keywords

eigenvalue analysisFitzHugh-Nagumo equationnerve axontravelling front solution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Biophysics (92C05)

Related Items (9)

A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses ⋮ On the Existence and Stability of Fast Traveling Waves in a Doubly Diffusive FitzHugh--Nagumo System ⋮ Opening the Maslov box for traveling waves in skew-gradient systems: counting eigenvales and proving (in)stability ⋮ Travelling wave solutions and stationary solutions of a reaction-diffusion-ODE system ⋮ Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses ⋮ Speeds of traveling waves in some integro-differential equations arising from neuronal networks ⋮ A stability index for travelling waves in activator-inhibitor systems ⋮ Fronts in subdiffusive FitzHugh–Nagumo systems ⋮ Mixed-type discontinuous Galerkin approach for solving the generalized FitzHugh-Nagumo reaction-diffusion model

Cites Work

• Stability of fast travelling pulse solutions of the FitzHugh-Nagumo equations
• Heteroclinic waves of the FitzHugh-Nagumo equations
• A geometric approach to singular perturbation problems with applications to nerve impulse equations
• ON THE EXISTENCE OF HOMOCLINIC AND PERIODIC ORBITS FOR THE FITZHUGH-NAGUMO EQUATIONS
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