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 | |
| Publication status | Published - 2019 Apr 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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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 journal › Article
TY - JOUR
T1 - Localized front structures in fitzHugh-nagumo equations
AU - Chen, Chao Nien
AU - Lin, Che Hao
AU - Tzeng, Shyuh -yaur
PY - 2019/4/1
Y1 - 2019/4/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85065870312&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85065870312&partnerID=8YFLogxK
U2 - 10.11650/tjm/181112
DO - 10.11650/tjm/181112
M3 - Article
VL - 23
SP - 333
EP - 349
JO - Taiwanese Journal of Mathematics
JF - Taiwanese Journal of Mathematics
SN - 1027-5487
IS - 2
ER -