Open Access
April, 2019 Localized Front Structures in FitzHugh-Nagumo Equations
Chao-Nien Chen, Che-Hao Lin, Shyuh-yaur Tzeng
Taiwanese J. Math. 23(2): 333-349 (April, 2019). DOI: 10.11650/tjm/181112


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.


Download Citation

Chao-Nien Chen. Che-Hao Lin. Shyuh-yaur Tzeng. "Localized Front Structures in FitzHugh-Nagumo Equations." Taiwanese J. Math. 23 (2) 333 - 349, April, 2019.


Received: 26 April 2018; Revised: 5 November 2018; Accepted: 22 November 2018; Published: April, 2019
First available in Project Euclid: 6 December 2018

zbMATH: 07055572
MathSciNet: MR3936003
Digital Object Identifier: 10.11650/tjm/181112

Primary: 34C37 , 35J50 , 35K57

Keywords: FitzHugh-Nagumo equations , localized structure , traveling front solution , Wave propagation

Rights: Copyright © 2019 The Mathematical Society of the Republic of China

Vol.23 • No. 2 • April, 2019
Back to Top