KAM THEOREM AND ISO-ENERGETIC KAM THEOREM ON POISSON MANIFOLD

被引：1

作者：

Qian, Weichao ^{[1
]}

机构：

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

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 02期

关键词：

KAM theorem; Iso-energetic KAM theorem; Poisson manifold; LOWER-DIMENSIONAL TORI; INVARIANT TORI; PERSISTENCE; SYSTEMS; MULTISCALE; EXISTENCE; INTEGRABILITY; PERTURBATIONS; FLOWS;

D O I：

10.11948/20220576

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In present paper, we give KAM theorem and iso-energetic KAM theorem for Hamiltonian system on n-dimensional Poisson manifold (M, pi) with rank pi = 2r everywhere, where pi is given a bivector field, 2r < n.

引用

页码：1088 / 1107

页数：20

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