Extraneous fixed points of Euler iteration and corresponding Sullivan's basin

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	Extraneous fixed points of Euler iteration and corresponding Sullivan's basin
	Wang, XH ; Han, DF
	2001-03-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	44 期号:3 页码:292-+
摘要	The phenomenon of "numerical extraneous roots" of Euler's iteration has been found. By systematic searching, some polynomials and the corresponding initial values are given, which make the fixed points of Euler's iteration not the roots of the polynomials. For those repelling extraneous fixed points, the adjoint dynamical types of Sullivan's basins are also studied. Finally, the fractal pictures are produced.
关键词	Euler iteration extraneous fixed point numerical extraneous roots Sullivan's basin fractal pictures
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000168196900004
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16593
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, XH
作者单位	1.Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, XH,Han, DF. Extraneous fixed points of Euler iteration and corresponding Sullivan's basin[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2001,44(3):292-+.
APA	Wang, XH,&Han, DF.(2001).Extraneous fixed points of Euler iteration and corresponding Sullivan's basin.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,44(3),292-+.
MLA	Wang, XH,et al."Extraneous fixed points of Euler iteration and corresponding Sullivan's basin".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44.3(2001):292-+.