ON THE EXISTENCE OF INVARIANT TORI IN NON-CONSERVATIVE DYNAMICAL SYSTEMS WITH DEGENERACY AND FINITE DIFFERENTIABILITY | |
Li, Xuemei1; Shang, Zaijiu2 | |
2019-07-01 | |
发表期刊 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS |
ISSN | 1078-0947 |
卷号 | 39期号:7页码:4225-4257 |
摘要 | In this paper, we establish a KAM-theorem about the existence of invariant tori in non-conservative dynamical systems with finitely differentiable vector fields and multiple degeneracies under the assumption that the integrable part is finitely differentiable with respect to parameters, instead of the usual assumption of analyticity. We prove these results by constructing approximation and inverse approximation lemmas in which all functions are finitely differentiable in parameters. |
关键词 | Invariant torus small frequency degeneracy finite differentiability |
DOI | 10.3934/dcds.2019171 |
语种 | 英语 |
资助项目 | NNSF of China[11371132] ; NNSF of China[11671392] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000464312800023 |
出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/34474 |
专题 | 数学所 |
通讯作者 | Li, Xuemei |
作者单位 | 1.Hunan Normal Univ, Dept Math, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Chinese Acad Sci, HLM,Acad Math & Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Xuemei,Shang, Zaijiu. ON THE EXISTENCE OF INVARIANT TORI IN NON-CONSERVATIVE DYNAMICAL SYSTEMS WITH DEGENERACY AND FINITE DIFFERENTIABILITY[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2019,39(7):4225-4257. |
APA | Li, Xuemei,&Shang, Zaijiu.(2019).ON THE EXISTENCE OF INVARIANT TORI IN NON-CONSERVATIVE DYNAMICAL SYSTEMS WITH DEGENERACY AND FINITE DIFFERENTIABILITY.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,39(7),4225-4257. |
MLA | Li, Xuemei,et al."ON THE EXISTENCE OF INVARIANT TORI IN NON-CONSERVATIVE DYNAMICAL SYSTEMS WITH DEGENERACY AND FINITE DIFFERENTIABILITY".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 39.7(2019):4225-4257. |
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