Devil's carpet of topological entropy and complexity of global dynamical behavior | |
Cao KF(曹克非)1,2,3; Zhang, Xu-Sheng1; Zhou, Zhong1; Peng SL(彭守礼)1,2,3 | |
发表期刊 | CHAOS SOLITONS & FRACTALS |
2003-06 | |
卷号 | 16期号:5页码:709-726 |
DOI | 10.1016/S0960-0779(02)00405-8 |
产权排序 | 第2完成单位 |
收录类别 | SCI ; EI |
摘要 | For bimodal maps the concept of an equal topological entropy class (ETEC) is established by the dual star products. All the infinitely many ETEC plateaus and single points are harmonically organized in the kneading parameter plane, they construct a multifractal devil's carpet. which possesses a perfect subregion similarity and a dual central symmetry The entropy devil's carpet reveals the complexity of global dynamical behavior in the whole parameter plane of bimodal systems. (C) 2002 Elsevier Science Ltd. All rights reserved. |
语种 | 英语 |
学科领域 | 数学 ; 物理学 |
文章类型 | Article |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
出版地 | THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND |
ISSN | 0960-0779 |
URL | 查看原文 |
WOS记录号 | WOS:000181442800008 |
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 ; Bimodal Maps ; Strange Sets ; Metric Regularity ; Chaos ; Universality ; Staircase ; Interval |
EI入藏号 | 2002517285849 |
EI主题词 | Chaos Theory |
EI分类号 | 641.1thermodynamics - 921Mathematics - 921.4combinatorial Mathematics, Includes Graph Theory, Set Theory - 922statistical Methods |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ynao.ac.cn/handle/114a53/4161 |
专题 | 其他 |
通讯作者 | Cao KF(曹克非) |
作者单位 | 1.Department of Physics, School of Mathematics and Physics, Center for Nonlinear Complex Systems, Yunnan University, Kunming, Yunnan, 650091, China 2.Yunnan Observatory, Chinese Academy of Sciences, Kunming, Yunnan, 650011, China 3.CCAST (World Laboratory), P.O. Box 8730, Beijing, 100080, China |
第一作者单位 | 中国科学院云南天文台 |
通讯作者单位 | 中国科学院云南天文台 |
推荐引用方式 GB/T 7714 | Cao KF,Zhang, Xu-Sheng,Zhou, Zhong,et al. Devil's carpet of topological entropy and complexity of global dynamical behavior[J]. CHAOS SOLITONS & FRACTALS,2003,16(5):709-726. |
APA | Cao KF,Zhang, Xu-Sheng,Zhou, Zhong,&Peng SL.(2003).Devil's carpet of topological entropy and complexity of global dynamical behavior.CHAOS SOLITONS & FRACTALS,16(5),709-726. |
MLA | Cao KF,et al."Devil's carpet of topological entropy and complexity of global dynamical behavior".CHAOS SOLITONS & FRACTALS 16.5(2003):709-726. |
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