Metric universalities and systems of renormalization group equations for bimodal maps

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	Metric universalities and systems of renormalization group equations for bimodal maps
	Zhang, YY 1; Cao KF(曹克非)1,2,3
刊名	CHAOS SOLITONS & FRACTALS
	2004-07
卷号	21 期号:2 页码:457-471
ISSN号	0960-0779
通讯作者	Cao, KF (reprint author), Yunnan Univ, Dept Phys, Ctr Nonlinear Complex Syst, Sch Math & Phys, Kunming 650091, Peoples R China.
产权排序	第二完成单位
英文摘要	For bimodal maps the Feigenbaum's renormalization group (RG) equation is generalized to a system of two independent RG equations, each corresponding to a critical point. A series of numerical solutions to systems of the RG equations are obtained, which explain the metric universalities of period-tripling and period-quadrupling bifurcations. For a special type of period-p-tupling bifurcations, it is found that the "collision" of the two critical points of bimodal maps leads to a quadratic relation between the two universal scaling factors. (C) 2004 Elsevier Ltd. All rights reserved.
学科主题	Mathematics ; Physics
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
研究领域[WOS]	Mathematics ; Physics
关键词[WOS]	NON-LINEAR TRANSFORMATIONS ; ONE-DIMENSIONAL MAPS ; FEIGENBAUM CONJECTURES ; FRACTAL DIMENSIONS ; SYMBOLIC DYNAMICS ; FIXED-POINTS ; BIFURCATION ; BEHAVIOR ; CHAOS ; PROOF
收录类别	SCI ; EI
原文出处	http://www.sciencedirect.com/science/article/pii/S0960077903006581
语种	英语
WOS记录号	WOS:000220150000021
内容类型	期刊论文
源URL	[http://ir.ynao.ac.cn/handle/114a53/4177]
专题	云南天文台_其他
作者单位	1.Department of Physics, Center for Nonlinear Complex Systems, School of Mathematics and Physics, Yunnan University, Kunming, Yunnan 650091, China 2.National Astronomical Observatories/Yunnan Observatory, Chinese Academy of Sciences, Kunming, Yunnan 650011, China 3.CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China
推荐引用方式 GB/T 7714	Zhang, YY,Cao KF. Metric universalities and systems of renormalization group equations for bimodal maps[J]. CHAOS SOLITONS & FRACTALS,2004,21(2):457-471.
APA	Zhang, YY,&Cao KF.(2004).Metric universalities and systems of renormalization group equations for bimodal maps.CHAOS SOLITONS & FRACTALS,21(2),457-471.
MLA	Zhang, YY,et al."Metric universalities and systems of renormalization group equations for bimodal maps".CHAOS SOLITONS & FRACTALS 21.2(2004):457-471.