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	Resonance identities for closed characteristics on compact star-shaped hypersurfaces in R-2n
	Liu, Hui ; Long, Yiming ; Wang, Wei
	2014
关键词	Compact star-shaped hypersurfaces Closed characteristics Hamiltonian systems Resonance identity CONVEX HAMILTONIAN-SYSTEMS MASLOV-TYPE INDEX MORSE-THEORY PERIODIC-SOLUTIONS SURFACES ORBITS EXISTENCE
英文摘要	Resonance relations among periodic orbits on given energy hypersurfaces are very important for getting deeper understanding of the dynamics of the corresponding Hamiltonian systems. In this paper, we establish two new resonance identities for closed characteristics on every compact star-shaped hypersurface Sigma in R-2n when the number of geometrically distinct closed characteristics on Sigma is finite, which extend those identities established by C. Viterbo in 1989 for star-shaped hypersurfaces assuming in addition that all the closed characteristics and their iterates are non-degenerate, and that by W. Wang, X. Hu and Y. Long in 2007 for strictly convex hypersurfaces in R-2n. (C) 2014 Elsevier Inc. All rights reserved.; Mathematics; SCI(E); 0; ARTICLE; huiliu@ustc.edu.cn; longym@nankai.edu.cn; alexanderweiwang@gmail.com; 9; 5598-5638; 266
语种	英语
出处	SCI
出版者	journal of functional analysis
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/213645]
专题	数学科学学院
推荐引用方式 GB/T 7714	Liu, Hui,Long, Yiming,Wang, Wei. Resonance identities for closed characteristics on compact star-shaped hypersurfaces in R-2n. 2014-01-01.

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