The Bifurcation of Homoclinic Orbits from Two Heteroclinic Orbits—A Topological Approach

S. N. Chow, Bo Deng, D. Terman

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)1057-1080
Number of pages24
JournalApplicable Analysis
Volume42
Issue number1-4
DOIs
StatePublished - Dec 1 1991

Fingerprint

FitzHugh-Nagumo Equations
Homoclinic Orbit
Traveling Wave Solutions
Reaction-diffusion Equations
Ordinary differential equations
Combustion
Ordinary differential equation
Orbits
Bifurcation
Model

Keywords

  • Bifurcation
  • heteroclinic orbits
  • homoclinic orbits

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

The Bifurcation of Homoclinic Orbits from Two Heteroclinic Orbits—A Topological Approach. / Chow, S. N.; Deng, Bo; Terman, D.

In: Applicable Analysis, Vol. 42, No. 1-4, 01.12.1991, p. 1057-1080.

Research output: Contribution to journalArticle

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