Localized front structures in fitzHugh-nagumo equations

Chao Nien Chen, Che Hao Lin, Shyuh -yaur Tzeng

Research output: Contribution to journalArticle

Abstract

We are interested in various types of localized waves in FitzHugh-Nagumo equations. Variational methods have been successfully worked out to establish the existence of traveling and standing waves. Starting with a simple planar traveling front, an ordered method is employed to demonstrate different front propagation between two stable equilibria. If these two stable equilibria are in the same energy level, a saddle-focus condition ensures that there are infinite number of standing waves with multiple fronts.

Original languageEnglish
Pages (from-to)333-349
Number of pages17
JournalTaiwanese Journal of Mathematics
Volume23
Issue number2
DOIs
Publication statusPublished - 2019 Apr 1

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FitzHugh-Nagumo Equations
Standing Wave
Travelling Fronts
Front Propagation
Saddle
Energy Levels
Variational Methods
Traveling Wave
Demonstrate

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Chen, Chao Nien ; Lin, Che Hao ; Tzeng, Shyuh -yaur. / Localized front structures in fitzHugh-nagumo equations. In: Taiwanese Journal of Mathematics. 2019 ; Vol. 23, No. 2. pp. 333-349.
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Localized front structures in fitzHugh-nagumo equations. / Chen, Chao Nien; Lin, Che Hao; Tzeng, Shyuh -yaur.

In: Taiwanese Journal of Mathematics, Vol. 23, No. 2, 01.04.2019, p. 333-349.

Research output: Contribution to journalArticle

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