Stability of Double-Pulse Solutions in Nerve Axon Equations

DOI10.1137/0149069zbMath0691.35052OpenAlexW2007962733MaRDI QIDQ3032680

Kenjiro Maginu, Eiji Yanagida

Publication date: 1989

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0149069

zbMATH Keywords

homoclinic solutionsnerve axon equationspropagation speedsdouble-pulse solutions

Mathematics Subject Classification ID

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

Related Items (8)

Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry ⋮ Convergence to traveling waves in reaction-diffusion systems with equal diffusivities ⋮ Numerical bifurcation and stability analysis of solitary pulses in an excitable reaction-diffusion medium ⋮ Stability of multiple-pulse solutions ⋮ On a stability property of double-pulse solutions in nerve axon equations ⋮ Existence and stability of asymptotically oscillatory triple pulses ⋮ The accumulation of eigenvalues in a stability problem ⋮ Homoclinic orbits in a parametrized saddle-focus system

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