| General form of superuniversality for fractal dimensions in one-dimensional maps | |
Cao KF(曹克非)1,2,3 ; Zhou, Z1; Gao, W1; Peng SL(彭守礼)1,2,3; Peng, SL (reprint author), Yunnan Univ, Sch Sci, Dept Phys, Ctr Nonlinear Complex Syst, Kunming 650091, Yunnan, Peoples R China.
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| 发表期刊 | INTERNATIONAL JOURNAL OF MODERN PHYSICS B
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| 2001-12-30 | |
| 卷号 | 15期号:32页码:4183-4197 |
| DOI | 10.1142/S0217979201007956 |
| 产权排序 | 第3完成单位 |
| 收录类别 | SCI |
| 摘要 | In one-dimensional continuous maps, there is an internal relationship between equivalent scaling factors alpha(e) and fractal dimensions d of Feigenbaum-type attractors on all critical (accumulation) points of transitions to chaos. In general, for m-modal maps with m turning points C-1, C-2,..., C-m, by defining a as the geometric average of all scaling factors alpha(Ci) (i = 1, 2,..., m), \alpha(e)\ = \alpha(C1) alpha(C2)...alpha(Cm)\(1/m), the superuniversal relationship d(W) log(\w\) \alpha(e) (W)\ = beta((e)) holds, where \W\ is the basic period of the m-tuply superstable sequences W, and beta((e)) is not only independent of the concrete sequences W, but also independent of the concrete maps. This is a general superuniversality for arbitrary multimodal maps, which is verified numerically for the cases of m less than or equal to 3 and can also be extended to Lorenz maps with a discontinuous point. |
| 语种 | 英语 |
| 学科领域 | Physics |
| 文章类型 | Article |
| ISSN | 0217-9792 |
| URL | 查看原文 |
| WOS记录号 | WOS:000173612600004 |
| WOS研究方向 | Physics |
| WOS类目 | Physics, Applied ; Physics, Condensed Matter ; Physics, Mathematical |
| 关键词[WOS] | GLOBAL METRIC REGULARITY ; DUAL STAR PRODUCTS ; SYMBOLIC DYNAMICS ; BIMODAL MAPS ; TOPOLOGICAL-ENTROPY ; STRANGE SETS ; DEVILS STAIRCASE ; CHAOS ; UNIVERSALITY ; TRANSFORMATIONS |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.ynao.ac.cn/handle/114a53/4119 |
| 专题 | 其他 |
| 通讯作者 | Peng, SL (reprint author), Yunnan Univ, Sch Sci, Dept Phys, Ctr Nonlinear Complex Syst, Kunming 650091, Yunnan, Peoples R China. |
| 作者单位 | 1.Center for Nonlinear Complex Systems, Department of Physics, School of Science, Yunnan University, Kunming, Yunnan 650091, China 2.CCAST (World Laboratory), P. O. Box 8730, Beijing 100080, China 3.Yunnan Observatory, Chinese Academy of Sciences, Kunming, Yunnan 650011, China |
| 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 | Cao KF,Zhou, Z,Gao, W,et al. General form of superuniversality for fractal dimensions in one-dimensional maps[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B,2001,15(32):4183-4197. |
| APA | Cao KF,Zhou, Z,Gao, W,Peng SL,&Peng, SL .(2001).General form of superuniversality for fractal dimensions in one-dimensional maps.INTERNATIONAL JOURNAL OF MODERN PHYSICS B,15(32),4183-4197. |
| MLA | Cao KF,et al."General form of superuniversality for fractal dimensions in one-dimensional maps".INTERNATIONAL JOURNAL OF MODERN PHYSICS B 15.32(2001):4183-4197. |
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