PERSISTENCE OF UNIFORMLY HYPERBOLIC LOWER DIMENSIONAL INVARIANT TORI OF HAMILTONIAN SYSTEMS

被引：0

作者：

Jiao, Lei ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 05期

关键词：

Invariant tori; KAM iteration; Hamiltonian systems; Uniform-hyperbolic; KAM THEOREM; SERIES;

D O I：

10.11650/twjm/1500406014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that the normally uniform-hyperbolic lower dimensional invariant tori of the un-perturbed system will persist under small perturbations. The proof is based on the theory of exponentially dichotomous linear systems and an improved KAM machinery adapted for the perturbations of angle dependent unperturbed parts.

引用

页码：1741 / 1762

页数：22

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