Abstract
Conditions are found for a homoclinic orbit to bifurcate from a heteroclinic loop for autonomous ordinary differential equations. The results are applied to prove the existence of traveling wave solutions of the FitzHugh-Nagumo equations and a system of reaction diffusion equations which arise as a model for a two step combustion process.
Original language | English (US) |
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Pages (from-to) | 1057-1080 |
Number of pages | 24 |
Journal | Applicable Analysis |
Volume | 42 |
Issue number | 1-4 |
DOIs | |
State | Published - Dec 1 1991 |
Keywords
- Bifurcation
- heteroclinic orbits
- homoclinic orbits
ASJC Scopus subject areas
- Analysis
- Applied Mathematics