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

doi:10.1088/0951-7715/13/1/309

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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)
发表期刊	Nonlinearity
	2000
卷号	13 期号:1 页码:189-202
ISSN	0951-7715
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.
DOI	10.1088/0951-7715/13/1/309
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000084894300010
引用统计	被引频次：10[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/55304
专题	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.

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