Existence of wavefronts and impulses to FitzHugh-Nagumo equations

doi:10.1016/j.na.2004.03.009

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	Existence of wavefronts and impulses to FitzHugh-Nagumo equations
	Gao, WL ; Wang, JH
	2004-05-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	57 期号:5-6 页码:667-676
摘要	Consideration is given to the FitzHugh-Nagumo equations u(t) = u(xx) - f(u) - v, v(t) = epsilon(u - gammav), where f(u) = u(u - 1)(u - a), 0 < a < 1/2, epsilon > 0, gamma > 9/((1 - 2a)(2 - a)). It is shown that there exist some c(o) > 0 so that the system has a heteroclinic travelling wave solution with wave speed c(o) for any epsilon > 0, and there exists c(oo) is an element of (0, c(o)), such that (1.2) has a homoclinic solution with wave speed c., if and only if epsilongamma(2) < 1. (C) 2004 Elsevier Ltd. All rights reserved.
关键词	FitzHugh-Nagumo equations travelling wave solutions
DOI	10.1016/j.na.2004.03.009
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000222293300003
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19485
专题	中国科学院数学与系统科学研究院
通讯作者	Gao, WL
作者单位	1.Civil Aviat Univ China, Tianjin 300300, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gao, WL,Wang, JH. Existence of wavefronts and impulses to FitzHugh-Nagumo equations[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2004,57(5-6):667-676.
APA	Gao, WL,&Wang, JH.(2004).Existence of wavefronts and impulses to FitzHugh-Nagumo equations.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,57(5-6),667-676.
MLA	Gao, WL,et al."Existence of wavefronts and impulses to FitzHugh-Nagumo equations".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 57.5-6(2004):667-676.