Star transformations and their genealogical varieties in symbolic dynamics of four letters

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	Star transformations and their genealogical varieties in symbolic dynamics of four letters
	Liu, HZ 1; Zhou, Z 1; Peng SL(彭守礼)1,2,3
刊名	JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
	1998-10-23
卷号	31 期号:42 页码:8431-8450
ISSN号	0305-4470
通讯作者	Liu, HZ
产权排序	第三完成单位
英文摘要	The composition rules of period-tripling and period-doubling in symbolic dynamics of four letters are proposed. The methods to generate various singly and doubly superstable kneading sequences from triply superstable kneading sequences are given. These composition rules and methods will present all the essential elements in the three-dimensional parameter space,including the 'joint','bones', 'membrane surfaces' on the 'skeleton' and many fractal objects constructed by period-doubling and period-tripling bifurcations. It is shown that the generalization from unimodal and bimodal to trimodal maps is not trivial. And the promptly exponential growth in the kinds of star transformations is even seen when the number of critical points (or parameters) of the map increases.
学科主题	Physics
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Physics, Multidisciplinary ; Physics, Mathematical
研究领域[WOS]	Physics
关键词[WOS]	BIMODAL MAPS ; TOPOLOGICAL-ENTROPY ; BEHAVIOR ; INTERVAL ; CAVITY
收录类别	SCI
原文出处	http://iopscience.iop.org/0305-4470/31/42/004/
语种	英语
WOS记录号	WOS:000076844100004
内容类型	期刊论文
源URL	[http://ir.ynao.ac.cn/handle/114a53/4018]
专题	云南天文台_其他
作者单位	1.Center for Nonlinear Complex Systems, Department of Physics, Yunnan University, Kunming, Yunnan 650091, People's Republic of China 2.CCAST (World Laboratory), PO Box 8730, Beijing 100080, People's Republic of China 3.Yunnan Observatory, Chinese Academy of Sciences, PO Box 110, Kunming, Yunnan 650011, People's Republic of China
推荐引用方式 GB/T 7714	Liu, HZ,Zhou, Z,Peng SL. Star transformations and their genealogical varieties in symbolic dynamics of four letters[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1998,31(42):8431-8450.
APA	Liu, HZ,Zhou, Z,&Peng SL.(1998).Star transformations and their genealogical varieties in symbolic dynamics of four letters.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,31(42),8431-8450.
MLA	Liu, HZ,et al."Star transformations and their genealogical varieties in symbolic dynamics of four letters".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 31.42(1998):8431-8450.