ON THE EXISTENCE OF INVARIANT TORI IN NON-CONSERVATIVE DYNAMICAL SYSTEMS WITH DEGENERACY AND FINITE DIFFERENTIABILITY
文献类型：期刊论文
| 作者 | Li, Xuemei2; Shang, Zaijiu1
|
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2019-07-01 |
| 卷号 | 39期号:7页码:4225-4257 |
| 关键词 | Invariant torus small frequency degeneracy finite differentiability |
| ISSN号 | 1078-0947 |
| DOI | 10.3934/dcds.2019171 |
| 英文摘要 | 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. |
| 资助项目 | NNSF of China[11371132] ; NNSF of China[11671392] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000464312800023 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34473]  |
| 专题 | 数学所 |
| 通讯作者 | Li, Xuemei |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Chinese Acad Sci, HLM,Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Hunan Normal Univ, Dept Math, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。