Maslov index for homoclinic orbits of Hamiltonian systems

doi:10.1016/j.anihpc.2006.06.002

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	Maslov index for homoclinic orbits of Hamiltonian systems
	Chen, Chao-Nien ; Hu, Xijun
	2007
发表期刊	ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
ISSN	0294-1449
卷号	24 期号:4 页码:589-603
摘要	A useful tool for studying nonlinear differential equations is index theory. For symplectic paths on bounded intervals, the index theory has been completely established, which revealed tremendous applications in the study of periodic orbits of Hamiltonian systems. Nevertheless, analogous questions concerning homoclinic orbits are still left open. In this paper we use a geometric approach to set up Maslov index for homoclinic orbits of Hamiltonian systems. On the other hand, a relative Morse index for homoclinic orbits will be derived through Fredholm index theory. It will be shown that these two indices coincide. (C) 2006 Elsevier Masson SAS. All rights reserved.
关键词	Hamiltonian system homoclinic orbit Maslov index relative Morse index
DOI	10.1016/j.anihpc.2006.06.002
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000247909900006
出版者	GAUTHIER-VILLARS/EDITIONS ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4475
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Chao-Nien
作者单位	1.Natl Changhua Univ Educ, Dept Math, Changhua, Taiwan 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Chao-Nien,Hu, Xijun. Maslov index for homoclinic orbits of Hamiltonian systems[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,2007,24(4):589-603.
APA	Chen, Chao-Nien,&Hu, Xijun.(2007).Maslov index for homoclinic orbits of Hamiltonian systems.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,24(4),589-603.
MLA	Chen, Chao-Nien,et al."Maslov index for homoclinic orbits of Hamiltonian systems".ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 24.4(2007):589-603.