Stability and bifurcation of traveling wave solutions of nerve axon type equations

DOI10.1016/0022-247X(89)90253-9zbMath0679.35009OpenAlexW2079891354MaRDI QIDQ1822683

Steven D. Taliaferro

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90253-9

zbMATH Keywords

bifurcationtraveling wavesdiffusion systems

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Biophysics (92C05) Bifurcations in context of PDEs (35B32)

Cites Work

• A geometric approach to singular perturbation problems with applications to nerve impulse equations
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Automatic Computation of Nerve Excitation—Detailed Corrections and Additions
• Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
• ON THE EXISTENCE OF HOMOCLINIC AND PERIODIC ORBITS FOR THE FITZHUGH-NAGUMO EQUATIONS
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