Stability of the in-phase travelling wave solution in a pair of coupled nerve fibers

Amitabha Bose, Christopher K.R.T. Jones

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

We consider the travelling wave that represents the simultaneous propagation of a voltage pulse along the length of two coupled nerve fibers. Conditions are given which guarantee the existence and stability of the wave. Two advances in the geometric techniques in the stability analysis of travelling waves are given: the first involves the Maslov Index, and the other the Exchange Lemma.

Original languageEnglish (US)
Pages (from-to)189-220
Number of pages32
JournalIndiana University Mathematics Journal
Volume44
Issue number1
StatePublished - Jan 1 1995
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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