Stability of travelling multiple-front (multiple-back) wave solutions of the Fitzhugh-Nagumo equations

被引：16
|
作者：
Nii, S
机构：
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1997年 / 28卷 / 05期
关键词：
travelling wave; eigenvalue problem; bifurcation;
D O I：
10.1137/S003614109528829X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consideration is devoted to travelling multiple-front (back) wave solutions of the FitzHugh-Nagumo equations of bistable type. In particular, stability of the 1-front (back) wave is proven. In the proof, the eigenvalue problem for the 1-front wave bifurcating from coexisting simple front and back waves is regarded as a bifurcation problem for projectivized eigenvalue equations, rather than treated as a linear eigenvalue problem for each fixed wave.
引用
收藏
页码：1094 / 1112
页数：19
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