Persistence of Lagrange invariant tori at tangent degeneracy

被引：5

作者：

Qian, Weichao ^{[1
,2
]}

Li, Yong ^{[1
,2
,3
]}

Yang, Xue ^{[1
,2
,3
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 09期

关键词：

KAM theory; Hamiltonian system; Tangent degeneracy; Lagrange equilibrium position L2; LOWER-DIMENSIONAL TORI; HAMILTONIAN-SYSTEMS; PERIODIC-SOLUTIONS; ARNOLDS THEOREM; KAM TORI; STABILITY; PERTURBATIONS;

D O I：

10.1016/j.jde.2019.11.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, without Riissmann's nondegenderate condition we show the persistence of KAM invariant tori. Using this theorem we obtain the persistence of invariant tori for degenerate systems rising from restricted three-body problems, especially, for Lagrange equilibrium position L2 with certain degeneracy. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：5078 / 5112

页数：35

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