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COEXISTENCE OF PERIOD 2 AND 3 CAUSTICS FOR DEFORMATIVE NEARLY CIRCULAR BILLIARD MAPS
Zhang, Jianlu1,2
2019-11-01
Source PublicationDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN1078-0947
Volume39Issue:11Pages:6419-6440
AbstractFor 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.
KeywordConvex billiard map caustic trigonometric polynomial analytic function nearly circular deformation generating function
DOI10.3934/dcds.2019278
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000483120400010
PublisherAMER INST MATHEMATICAL SCIENCES-AIMS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35556
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhang, Jianlu
Affiliation1.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
Recommended Citation
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.
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