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

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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