YNAO OpenIR  > 其他
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, KF1,2,4
发表期刊PHYSICAL REVIEW E
1996-10-01
卷号54期号:4页码:3211-3220
DOI10.1103/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
ISSN1063-651X
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.
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
Global scaling behav(219KB)期刊论文作者接受稿开放获取CC BY-NC-SA浏览 请求全文
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Peng SL(彭守礼)]的文章
[Cao, KF]的文章
百度学术
百度学术中相似的文章
[Peng SL(彭守礼)]的文章
[Cao, KF]的文章
必应学术
必应学术中相似的文章
[Peng SL(彭守礼)]的文章
[Cao, KF]的文章
相关权益政策
暂无数据
收藏/分享
文件名: Global scaling behaviors and chaotic measure characterized by the convergent rates of period-p-tupling bifurcations.pdf
格式: Adobe PDF
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。