Localized front structures in fitzHugh-nagumo equations

Chao Nien Chen; Che Hao Lin; Shyuh Yaur Tzeng

doi:10.11650/tjm/181112

Localized front structures in fitzHugh-nagumo equations

Chao Nien Chen, Che Hao Lin, Shyuh Yaur Tzeng

Department of Mathematics

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	333-349
Number of pages	17
Journal	Taiwanese Journal of Mathematics
Volume	23
Issue number	2
DOIs	https://doi.org/10.11650/tjm/181112
Publication status	Published - 2019 Apr

All Science Journal Classification (ASJC) codes

Mathematics(all)

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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.",

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