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On a model stationary nonlinear wave in an active medium

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Publication:3772611
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DOI10.1098/rspa.1987.0058zbMath0634.35040OpenAlexW2062696865MaRDI QIDQ3772611

T. A. Tobias, Yu. K. Ehngel'brekht

Publication date: 1987

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1987.0058


zbMATH Keywords

limit cyclesphase portraitamplificationFitzHugh-Nagumo equationthreshold effectstationary nonlinear waveLiénard-type model equation


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Nonlinear elliptic equations (35J60) General biology and biomathematics (92B05)


Related Items (5)

Nonlinear waves in a FitzHugh--Nagumo model: repetition-rate scaling, chaotization and rhythm disruption. ⋮ Mathematics of Nerve Signals ⋮ Nerve pulse transmission: Recovery variable and rate-type effects ⋮ Robust exponential attractors for singularly perturbed Hodgkin-Huxley equations ⋮ Bifurcation structure of a periodically driven nerve pulse equation modelling cardiac conduction







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