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

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

Research output: Contribution to journalArticle

6 Scopus citations


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
Issue number1-4
Publication statusPublished - Dec 1 1991



  • Bifurcation
  • heteroclinic orbits
  • homoclinic orbits

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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