COEXISTENCE OF PERIOD 2 AND 3 CAUSTICS FOR DEFORMATIVE NEARLY CIRCULAR BILLIARD MAPS

doi:10.3934/dcds.2019278

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	COEXISTENCE OF PERIOD 2 AND 3 CAUSTICS FOR DEFORMATIVE NEARLY CIRCULAR BILLIARD MAPS
	Zhang, Jianlu 1,2
	2019-11-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	39 期号:11 页码:6419-6440
摘要	For Z(2)-symmetric analytic deformation of the circle (with certain Fourier decaying rate), the necessary condition for the corresponding billiard map to keep the coexistence of period 2, 3 caustics is that the deformation has to be an isometric transformation.
关键词	Convex billiard map caustic trigonometric polynomial analytic function nearly circular deformation generating function
DOI	10.3934/dcds.2019278
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000483120400010
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/35556
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Jianlu
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Jianlu. COEXISTENCE OF PERIOD 2 AND 3 CAUSTICS FOR DEFORMATIVE NEARLY CIRCULAR BILLIARD MAPS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2019,39(11):6419-6440.
APA	Zhang, Jianlu.(2019).COEXISTENCE OF PERIOD 2 AND 3 CAUSTICS FOR DEFORMATIVE NEARLY CIRCULAR BILLIARD MAPS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,39(11),6419-6440.
MLA	Zhang, Jianlu."COEXISTENCE OF PERIOD 2 AND 3 CAUSTICS FOR DEFORMATIVE NEARLY CIRCULAR BILLIARD MAPS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 39.11(2019):6419-6440.