Completely degenerate lower-dimensional invariant tori for Hamiltonian system

被引：23

作者：

Hu, Shengqing ^{[1
]}

Liu, Bin ^{[2
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 11期

关键词：

Lower-dimensional tori; Completely degenerate Hamiltonian systems; KAM iteration; RESPONSE SOLUTIONS;

D O I：

10.1016/j.jde.2018.12.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the persistence of lower-dimensional invariant tori for a nearly integrable completely degenerate Hamiltonian system. It is shown that the majority of unperturbed invariant tori can survive from the perturbations which are only assumed the smallness and smoothness. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：7459 / 7480

页数：22

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