Completely degenerate lower-dimensional invariant tori for Hamiltonian system

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:266

Article

Hu, Shengqing¹  Liu, Bin² 

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

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

关键词: Lower-dimensional tori;    Completely degenerate Hamiltonian systems;    KAM iteration;   

DOI  :  10.1016/j.jde.2018.12.001

来源: Elsevier

【 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.

【 授权许可】

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