Some ideas in the proof that the FitzHugh-Nagumo pulse is stable

DOI10.1090/CONM/017/706105zbMath0544.35016OpenAlexW4236741071MaRDI QIDQ3333417

Christopher K. R. T. Jones

Publication date: 1983

Published in: Nonlinear partial differential equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/017/706105

zbMATH Keywords

stabilitysingular perturbationlinearizationstravelling wave solutionsFitzhugh-Nagumo equationsnerve impulseheteroclinic and homoclinic orbits

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Dynamical systems and ergodic theory (37-XX)

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