Internal layer oscillations in FitzHugh-Nagumo equation
type: Item
instance of: scholarly article
title: Internal layer oscillations in FitzHugh-Nagumo equation
zbMATH Open document ID: 0944.35111
DOI: 10.1016/S0377-0427(98)00264-7
author: YoonMee Ham
published in: Journal of Computational and Applied Mathematics
publication date: 2000-09-13T00:00:00Z
review text: In the work [\textit{P. Fife}, Dynamics of internal layers and diffusive interfaces, CMBS-NSF Reg. Conf. Ser. Appl. Math. 53 (1988; Zbl 0684.35001)] it was shown that FitzHugh-Nagumo equations can be reduced to a free boundary value problem when a layer parameter \(\varepsilon\) is equal to zero. In the article under review the Hopf bifurcation for this free boundary value problem at the variation of the controlled parameter \(\tau\) is investigated.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35Q80
zbMATH DE Number: 1334668
zbMATH Keywords: FitzHugh-Nagumo equation
zbMATH Keywords: internal layer
zbMATH Keywords: Hopf bifurcation
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
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full work available at URL: s0377-0427(98)00264-7
OpenAlex ID: W2152678708
description: scientific article; zbMATH DE number 1334668