On the dynamics of the singularly perturbed rational maps

doi:10.1007/s10114-010-8073-z

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	On the dynamics of the singularly perturbed rational maps
	Ding, Lian Rong
	2010-02-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	26 期号:2 页码:265-276
摘要	In this paper, we study the dynamics of the family of rational maps f (lambda) (z) = z (n) + lambda/z (m) , n a parts per thousand yen 2, m a parts per thousand yen 1, lambda a a",. We construct an example of buried Sierpinski curve Julia set in this family. We also give an estimate of the location of bifurcation locus of f (lambda) .
关键词	Julia set Sierpinski curve bifurcation locus
DOI	10.1007/s10114-010-8073-z
语种	英语
资助项目	National Natural Science Foundation of China[10125103] ; NBRP of China
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000274398300004
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10959
专题	中国科学院数学与系统科学研究院
通讯作者	Ding, Lian Rong
作者单位	Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ding, Lian Rong. On the dynamics of the singularly perturbed rational maps[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2010,26(2):265-276.
APA	Ding, Lian Rong.(2010).On the dynamics of the singularly perturbed rational maps.ACTA MATHEMATICA SINICA-ENGLISH SERIES,26(2),265-276.
MLA	Ding, Lian Rong."On the dynamics of the singularly perturbed rational maps".ACTA MATHEMATICA SINICA-ENGLISH SERIES 26.2(2010):265-276.