南方科技大学知识苑(SUSTech KC): Conley-Zehnder index and bifurcation of fixed points of Hamiltonian maps

题名	Conley-Zehnder index and bifurcation of fixed points of Hamiltonian maps
作者	Deng, Yanxia 1; Xia, Zhihong2,3
通讯作者	Deng, Yanxia
发表日期	2018-09
DOI	10.1017/etds.2016.118
发表期刊	ERGODIC THEORY AND DYNAMICAL SYSTEMS 影响因子和分区
ISSN	0143-3857
EISSN	1469-4417
卷号	38页码:2086-2107
摘要	We study the bifurcations of fixed points of Hamiltonian maps and symplectic diffeomorphisms. We are particularly interested in the bifurcations where the Conley-Zehnder index of a fixed point changes. The main result is that when the Conley-Zehnder index of a fixed point increases (or decreases) by one or two, we observe that there are several bifurcation scenarios. Under some non-degeneracy conditions on the one-parameter family of maps, two, four or eight fixed points bifurcate from the original one. We give a relatively detailed analysis of the bifurcation in the two-dimensional case. We also show that higher-dimensional cases can be reduced to the two-dimensional case.
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	其他
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000439984400004
出版者	CAMBRIDGE UNIV PRESS
ESI学科分类	MATHEMATICS
来源库	Web of Science
引用统计	被引频次[WOS]：3
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/27275
专题	理学院_数学系工学院_材料科学与工程系
作者单位	1.Queens Univ, Dept Math & Stat, Kingston, ON, Canada 2.Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China 3.Northwestern Univ, Dept Math, Evanston, IL 60208 USA
推荐引用方式 GB/T 7714	Deng, Yanxia,Xia, Zhihong. Conley-Zehnder index and bifurcation of fixed points of Hamiltonian maps[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS,2018,38:2086-2107.
APA	Deng, Yanxia,&Xia, Zhihong.(2018).Conley-Zehnder index and bifurcation of fixed points of Hamiltonian maps.ERGODIC THEORY AND DYNAMICAL SYSTEMS,38,2086-2107.
MLA	Deng, Yanxia,et al."Conley-Zehnder index and bifurcation of fixed points of Hamiltonian maps".ERGODIC THEORY AND DYNAMICAL SYSTEMS 38(2018):2086-2107.