Iso-manifold KAM persistence

被引：1

作者：

Zhao, Xuefeng ^{[1
]}

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

机构：

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

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

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 310卷

关键词：

Hamiltonian system; Iso-manifold KAM theorem; Riemannian manifold; INVARIANT TORI;

D O I：

10.1016/j.jde.2021.10.059

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the iso-manifold persistence in formulism. We employ a quasilinear iterative scheme to show that the majority of unperturbed tori give rise to invariant tori of the perturbed system starting from the same Riemannian manifold and keep the ratio of certain components of the respective frequencies. We also consider the iso-manifold Melnikov persistence. (c) 2021 Elsevier Inc. All rights reserved.

引用

页码：484 / 505

页数：22

共 24 条

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