Global scaling behaviors and chaotic measure characterized by the convergent rates of period-p-tupling bifurcations
文献类型：期刊论文
| 作者 | Peng SL(彭守礼)1,2,3 ; Cao, KF1,2,4
|
| 刊名 | PHYSICAL REVIEW E
 |
| 出版日期 | 1996-10 |
| 卷号 | 54期号:4页码:3211-3220 |
| ISSN号 | 1063-651X |
| 产权排序 | 第四完成单位 |
| 英文摘要 | 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. |
| 学科主题 | Physics |
| 类目[WOS] | Physics, Fluids & Plasmas ; Physics, Mathematical |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | UNIVERSAL METRIC PROPERTIES ; NON-LINEAR TRANSFORMATIONS ; ONE-DIMENSIONAL MAPS ; TOPOLOGICAL-ENTROPY ; SYMBOLIC DYNAMICS ; DEVILS STAIRCASE ; ENDOMORPHISMS ; REGULARITY |
| 收录类别 | SCI |
| 原文出处 | http://journals.aps.org/pre/abstract/10.1103/PhysRevE.54.3211 |
| 语种 | 英语 |
| WOS记录号 | WOS:A1996VN17600028 |
| 源URL | [http://ir.ynao.ac.cn/handle/114a53/4033]  |
| 专题 | 云南天文台_其他 |
| 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 |
| 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. |
入库方式： OAI收割
来源：云南天文台
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