On the persistence of lower-dimensional invariant hyperbolic tori for smooth Hamiltonian systems

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	On the persistence of lower-dimensional invariant hyperbolic tori for smooth Hamiltonian systems
	Huang DB(黄德斌); Liu CR(刘曾荣)
刊名	Nonlinearity
	2000
卷号	13 期号:1 页码:189-202
ISSN号	0951-7715
中文摘要	In this paper, sufficiently smooth Hamiltonian systems with perturbations are considered. By combining a smooth version of the Kolmogorov-Arnold-Moser theorem and the theory of normally hyperbolic invariant manifolds, we show that under the conditions of nonresonance and nondegeneracy, most hyperbolic invariant tori and their stable and unstable manifolds survive smoothly under sufficiently smooth autonomous perturbation. This result can be generalized directly to the case of time-dependent quasi-periodic perturbations. Finally, an example from geometrical optics is used to illustrate our method.
收录类别	SCI
原文出处	(http://iopscience.iop.org/0951-7715/13/1/309
语种	英语
WOS记录号	WOS:000084894300010
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/55304]
专题	力学研究所_力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Huang DB,Liu CR. On the persistence of lower-dimensional invariant hyperbolic tori for smooth Hamiltonian systems[J]. Nonlinearity,2000,13(1):189-202.
APA	Huang DB,&Liu CR.(2000).On the persistence of lower-dimensional invariant hyperbolic tori for smooth Hamiltonian systems.Nonlinearity,13(1),189-202.
MLA	Huang DB,et al."On the persistence of lower-dimensional invariant hyperbolic tori for smooth Hamiltonian systems".Nonlinearity 13.1(2000):189-202.