Stability analysis for standing pulse solutions to FitzHugh-Nagumo equations

被引：37
|
作者：
Chen, Chao-Nien [1 ]
Hu, Xijun [2 ]
机构：
[1] Natl Changhua Univ Educ, Dept Math, Changhua, Taiwan
[2] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 49卷 / 1-2期
关键词：
TRAVELING-WAVE SOLUTION; MASLOV INDEX; SPECTRAL FLOW; PERIODIC-SOLUTIONS; SYMPLECTIC PATHS; INVARIANT; BEHAVIOR; SYSTEMS;
D O I：
10.1007/s00526-013-0601-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies standing pulse solutions to the FitzHugh-Nagumo equations. Since the reaction terms are coupled in a skew-gradient structure, a standing pulse solution is a homoclinic orbit of a second order Hamiltonian system. In this work, an index theory for the Hamiltonian system is employed to study the stability of standing pulses for the FitzHugh-Nagumo equations. Related results for more general skew-gradient systems are also obtained.
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页码：827 / 845
页数：19
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