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.
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页码：1088 / 1107
页数：20
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