Global multifractal relation between topological entropies and fractal dimensions
文献类型：期刊论文
| 作者 | Zhai, WB1,4; Chen, XZ1,5; Cao KF(曹克非)1,2,3
|
| 刊名 | CHAOS SOLITONS & FRACTALS
 |
| 出版日期 | 2005-01 |
| 卷号 | 23期号:2页码:511-518 |
| ISSN号 | 0960-0779 |
| 产权排序 | 第二完成单位 |
| 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. |
| 英文摘要 | 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. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | Mathematics ; Physics |
| 类目[WOS] | Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical |
| 研究领域[WOS] | Mathematics ; Physics |
| 关键词[WOS] | NON-LINEAR TRANSFORMATIONS ; SYMBOLIC DYNAMICS ; DEVILS STAIRCASE ; UNIVERSALITY ; ATTRACTORS ; REGULARITY ; BEHAVIORS ; POINTS ; CHAOS ; RATES |
| 收录类别 | SCI ; EI |
| 原文出处 | http://www.sciencedirect.com/science/article/pii/S0960077904002772 |
| 语种 | 英语 |
| WOS记录号 | WOS:000224148700020 |
| 源URL | [http://ir.ynao.ac.cn/handle/114a53/4421]  |
| 专题 | 云南天文台_大样本恒星演化研究组 |
| 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. 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.(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. |
入库方式： OAI收割
来源：云南天文台
浏览0
下载0
收藏0
其他版本
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。