STABILITY OF TRAVELING MULTIPLE-FRONT (MULTIPLE-BACK) WAVE SOLUTIONS OF THE FITZHUGH-NAGUMO EQUATIONS

Authors
NII S
Citation
S. Nii, STABILITY OF TRAVELING MULTIPLE-FRONT (MULTIPLE-BACK) WAVE SOLUTIONS OF THE FITZHUGH-NAGUMO EQUATIONS, SIAM journal on mathematical analysis, 28(5), 1997, pp. 1094-1112
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
28
Issue
5
Year of publication
1997
Pages
1094 - 1112
Database
ISI
SICI code
0036-1410(1997)28:5<1094:SOTM(W>2.0.ZU;2-U
Abstract
Consideration is devoted to travelling multiple-front (back) wave solu tions of the FitzHugh-Nagumo equations of bistable type. In particular , stability of the 1-front (back) wave is proven. In the proof, the ei genvalue problem for the 1-front wave bifurcating from coexisting simp le front and back waves is regarded as a bifurcation problem for proje ctivized eigenvalue equations, rather than treated as a linear eigenva lue problem for each fixed wave.