| Global multifractal relation between topological entropies and fractal dimensions | |
Zhai, WB1,4; Chen, XZ1,5; Cao KF(曹克非)1,2,3 ; Cao, KF (reprint author), Yunnan Univ, Sch Phys & Mat, Dept Phys, Ctr Nonlinear Complex Syst, Kunming 650091, Yunnan, Peoples R China.
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| 发表期刊 | CHAOS SOLITONS & FRACTALS
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| 2005-01 | |
| 卷号 | 23期号:2页码:511-518 |
| DOI | 10.1016/j.chaos.2004.05.036 |
| 产权排序 | 第2完成单位 |
| 收录类别 | SCI ; EI |
| 摘要 | In one-dimensional chaotic dynamics, a global multifractal relation between topological entropies and fractal dimensions of arbitrary period-p-tupling attractors is analyzed on all critical (accumulation) points of transitions to chaos, where the Lyapunov characteristic exponent is zero. The global metric regularity of topological entropies versus fractal dimensions is well characterized by the self-similarity. By the fractal interpolation based on the iterated function system, the fractal dimensions of he curves of topological entropies versus capacity dimensions and versus information dimensions are both found to be 1.82. (C) 2004 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 |
| 学科领域 | Mathematics ; Physics |
| 文章类型 | Article |
| ISSN | 0960-0779 |
| URL | 查看原文 |
| WOS记录号 | WOS:000224148700020 |
| WOS研究方向 | Mathematics ; Physics |
| WOS类目 | Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical |
| 关键词[WOS] | NON-LINEAR TRANSFORMATIONS ; SYMBOLIC DYNAMICS ; DEVILS STAIRCASE ; UNIVERSALITY ; ATTRACTORS ; REGULARITY ; BEHAVIORS ; POINTS ; CHAOS ; RATES |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.ynao.ac.cn/handle/114a53/4421 |
| 专题 | 大样本恒星演化研究组 |
| 通讯作者 | Cao, KF (reprint author), Yunnan Univ, Sch Phys & Mat, Dept Phys, Ctr Nonlinear Complex Syst, Kunming 650091, Yunnan, Peoples R China. |
| 作者单位 | 1.United Laboratory of Optical Astronomy, Chinese Academy of Sciences (ULOAC), 100012 Beijing, P. R. China 2.National Astronomical Observatories/Yunnan Observatory, Chinese Academy of Sciences, Kunming, Yunnan 650011, PR China 3.CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, PR China 4.College of Physics, Xinyang Normal University, Xinyang, Henan 464000, PR China 5.School of Mathematics and Computer Science, Yunnan University of the Nationalities, Kunming, Yunnan 650031, PR China |
| 推荐引用方式 GB/T 7714 | Zhai, WB,Chen, XZ,Cao KF,et al. Global multifractal relation between topological entropies and fractal dimensions[J]. CHAOS SOLITONS & FRACTALS,2005,23(2):511-518. |
| APA | Zhai, WB,Chen, XZ,Cao KF,&Cao, KF .(2005).Global multifractal relation between topological entropies and fractal dimensions.CHAOS SOLITONS & FRACTALS,23(2),511-518. |
| MLA | Zhai, WB,et al."Global multifractal relation between topological entropies and fractal dimensions".CHAOS SOLITONS & FRACTALS 23.2(2005):511-518. |
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| Global multifractal （396KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | 浏览 请求全文 | |
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