Singular perturbation approach to traveling wave solutions of the Hodgkin-Huxley equations and its application to stability problems

DOI10.1007/BF03167914zbMath0678.92007OpenAlexW2067948123MaRDI QIDQ3835345

Hideo Ikeda, Tohru Tsujikawa, Masayasu Mimura

Publication date: 1989

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167914

zbMATH Keywords

homoclinic orbitfast waveslow wavestable manifoldsmall parameterstravelling wave solutionEvans indexfive-dimensional dynamical systemmodification of the Hodgkin-Huxley equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Partial differential equations of mathematical physics and other areas of application (35Q99) Physiological, cellular and medical topics (92Cxx)

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