A topological proof of stability of N-front solutions of the FitzHugh-Nagumo equations

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Abstract

Consideration is devoted to traveling N-front wave solutions of the FitzHugh-Nagumo equations of the bistable type. Especially, stability of the N-front wave is proven. In the proof, the eigenvalue problem for the N-front wave bifurcating from coexisting simple front and back waves is regarded as a bifurcation problem for projectivised eigenvalue equations, and a topological index is employed to detect eigenvalues.

Original languageEnglish
Pages (from-to)515-555
Number of pages41
JournalJournal of Dynamics and Differential Equations
Volume11
Issue number3
DOIs
Publication statusPublished - Jan 1 1999
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Analysis

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