Global scaling behaviors and chaotic measure characterized by the convergent rates of period-p-tupling bifurcations

doi:10.1103/PhysRevE.54.3211

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	Global scaling behaviors and chaotic measure characterized by the convergent rates of period-p-tupling bifurcations
	Peng SL(彭守礼)1,2,3 ; Cao, KF 1,2,4
发表期刊	PHYSICAL REVIEW E
	1996-10-01
卷号	54 期号:4 页码:3211-3220
DOI	10.1103/PhysRevE.54.3211
产权排序	第4完成单位
收录类别	SCI
摘要	The Derrida-Gervois-Pomeau composition of the sequences Q* is a topological conjugate compression operation. On the basis of the numerical calculation for the quadratic map f(lambda)(x) = 1 - lambda x(2), it is found that Q* has the uniform compression ratio delta(-1)(Q), i.e., the reciprocal of the universal convergent rate. A series of global scaling behaviors relating to the periodic windows, the window bands, and the steps of equal topological entropy class (ETEC) are revealed to be independent of the sequences. In particular, the geometric interpretation for the Yorke-Grebogi-Ott-Tedeschini-Lalli normalized crisis value of ''windows'' mu(c) = 9/4 is given clearly through the scaling for the ETEC steps. The universal positions of superstable points in all the periodic windows are determined by the window scaling ratios gamma(PDB)=1 for the period-doubling bifurcation (PDB) sequences and gamma(N)=1/3 for the non-PDB sequences. The approximate analytic formula of the chaotic measure is obtained by employing the convergent rates delta of periodic sequences. The singularity spectrum and the generalized fractal dimension of the chaotic set are also calculated. These results imply that the metric universality of the periodic sequences may be a very good complete description for the topological space of two symbols.
语种	英语
学科领域	Physics
文章类型	Article
ISSN	1063-651X
URL	查看原文
WOS记录号	WOS:A1996VN17600028
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas ; Physics, Mathematical
关键词[WOS]	UNIVERSAL METRIC PROPERTIES ; NON-LINEAR TRANSFORMATIONS ; ONE-DIMENSIONAL MAPS ; TOPOLOGICAL-ENTROPY ; SYMBOLIC DYNAMICS ; DEVILS STAIRCASE ; ENDOMORPHISMS ; REGULARITY
引用统计	被引频次：10[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/114a53/4033
专题	其他
通讯作者	Cao, KF
作者单位	1.Laboratory of Nonlinear Complex Systems, Department of Physics and Institute of Applied Mathematics of Yunnan Province, Yunnan University, Kunming, Yunnan 650091, China 2.China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, China 3.Yunnan Observatory, Chinese Academy of Sciences, P.O. Box 110, Kunming, Yunnan 650011, China 4.Department of Physics, Yunnan Institute of the
第一作者单位	中国科学院云南天文台
推荐引用方式 GB/T 7714	Peng SL,Cao, KF. Global scaling behaviors and chaotic measure characterized by the convergent rates of period-p-tupling bifurcations[J]. PHYSICAL REVIEW E,1996,54(4):3211-3220.
APA	Peng SL,&Cao, KF.(1996).Global scaling behaviors and chaotic measure characterized by the convergent rates of period-p-tupling bifurcations.PHYSICAL REVIEW E,54(4),3211-3220.
MLA	Peng SL,et al."Global scaling behaviors and chaotic measure characterized by the convergent rates of period-p-tupling bifurcations".PHYSICAL REVIEW E 54.4(1996):3211-3220.

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