Metric universalities and systems of renormalization group equations for bimodal maps

doi:10.1016/j.chaos.2003.12.049

YNAO OpenIR > 其他

	Metric universalities and systems of renormalization group equations for bimodal maps
	Zhang, Yan-Yang 1; Cao KF(曹克非)1,2,3
发表期刊	CHAOS SOLITONS & FRACTALS
	2004-07
卷号	21 期号:2 页码:457-471
DOI	10.1016/j.chaos.2003.12.049
产权排序	第2完成单位
收录类别	SCI ; EI
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.
语种	英语
学科领域	数学 ; 物理学
文章类型	Article
出版者	PERGAMON-ELSEVIER SCIENCE LTD
出版地	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
ISSN	0960-0779
URL	查看原文
WOS记录号	WOS:000220150000021
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
关键词[WOS]	Non-linear Transformations ; One-dimensional Maps ; Feigenbaum Conjectures ; Fractal Dimensions ; Symbolic Dynamics ; Fixed-points ; Bifurcation ; Behavior ; Chaos ; Proof
EI入藏号	2004098040444
EI主题词	Bifurcation (Mathematics)
EI分类号	723.4artificial Intelligence - 921mathematics - 921.1algebra - 921.5optimization Techniques - 921.6numerical Methods
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ynao.ac.cn/handle/114a53/4177
专题	其他
通讯作者	Cao KF(曹克非)
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
通讯作者单位	中国科学院云南天文台
推荐引用方式 GB/T 7714	Zhang, Yan-Yang,Cao KF. Metric universalities and systems of renormalization group equations for bimodal maps[J]. CHAOS SOLITONS & FRACTALS,2004,21(2):457-471.
APA	Zhang, Yan-Yang,&Cao KF.(2004).Metric universalities and systems of renormalization group equations for bimodal maps.CHAOS SOLITONS & FRACTALS,21(2),457-471.
MLA	Zhang, Yan-Yang,et al."Metric universalities and systems of renormalization group equations for bimodal maps".CHAOS SOLITONS & FRACTALS 21.2(2004):457-471.

条目包含的文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
Metric universalitie（976KB）	期刊论文	作者接受稿	开放获取	CC BY-NC-SA	浏览请求全文