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 1; 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.