Persistence of lower dimensional invariant tori on sub-manifolds in Hamiltonian systems

被引：3

作者：

Liu, ZX ^{[1
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 61卷 / 08期

关键词：

Hamiltonian system; lower dimensional invariant tori; persistence on sub-manifolds; KAM theorem;

D O I：

10.1016/j.na.2005.01.106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Chow et al. (J. Non. Sci. 12 (2002) 585) proved that the majority of the unperturbed tori on submanifolds will persist for standard Hamiltonian systems. Motivated by their work, in this paper, we study the persistence and tangent frequencies preservation of lower dimensional invariant tori on smooth sub-manifolds for real analytic, nearly integrable Hamiltonian systems. The surviving tori might be elliptic, hyperbolic, or of mixed type. © 2005 Elsevier Ltd. All rights reserved.

引用

页码：1319 / 1342

页数：24

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