ON THE EXISTENCE OF INVARIANT TORI IN NON-CONSERVATIVE DYNAMICAL SYSTEMS WITH DEGENERACY AND FINITE DIFFERENTIABILITY

doi:10.3934/dcds.2019171

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	ON THE EXISTENCE OF INVARIANT TORI IN NON-CONSERVATIVE DYNAMICAL SYSTEMS WITH DEGENERACY AND FINITE DIFFERENTIABILITY
	Li, Xuemei 2; Shang, Zaijiu1
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
	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
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000464312800023
内容类型	期刊论文
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.