Numerical investigations of discrete scale invariance in fractals and multifractal measures
文献类型：期刊论文
| 作者 | Zhou, Wei-Xing1,2,3,4,5; Sornette, Didier6,7 |
| 刊名 | Physica a-statistical mechanics and its applications
 |
| 出版日期 | 2009-07-01 |
| 卷号 | 388期号:13页码:2623-2639 |
| 关键词 | Fractal and multifractal Discrete scale invariance Log-periodicity Complex dimensions Numerical simulations |
| ISSN号 | 0378-4371 |
| DOI | 10.1016/j.physa.2009.03.023 |
| 通讯作者 | Zhou, wei-xing(wxzhou@ecust.edu.cn) |
| 英文摘要 | Fractals and multifractals and their associated scaling laws provide a quantification of the complexity of a variety of scale invariant complex systems. here, we focus on lattice multifractals which exhibit complex exponents associated with observable log-periodicity. we perform detailed numerical analyses of lattice multifractals and explain the origin of three different scaling regions found in the moments. a novel numerical approach is proposed to extract the log-frequencies. in the non-lattice case, there is no visible log-periodicity. i.e., no preferred scaling ratio since the set of complex exponents spreads irregularly within the complex plane. a non-lattice multifractal can be approximated by a sequence of lattice multifractals so that the sets of complex exponents of the lattice sequence converge to the set of complex exponents of the non-lattice one. an algorithm for the construction of the lattice sequence is proposed explicitly. (c) 2009 elsevier b.v. all rights reserved. |
| WOS关键词 | LOG-PERIODICITY ; STRANGE ATTRACTORS ; MELLIN TRANSFORMS ; CRITICAL RUPTURES ; TURBULENCE ; DIFFUSION ; DIMENSIONS ; OSCILLATIONS ; FORMALISM ; INTERMITTENCY |
| WOS研究方向 | Physics |
| WOS类目 | Physics, Multidisciplinary |
| 语种 | 英语 |
| WOS记录号 | WOS:000266226900004 |
| 出版者 | ELSEVIER SCIENCE BV |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2404201 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Zhou, Wei-Xing |
| 作者单位 | 1.E China Univ Sci & Technol, Sch Business, Shanghai 200237, Peoples R China 2.E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China 3.E China Univ Sci & Technol, Res Ctr Econophys, Shanghai 200237, Peoples R China 4.E China Univ Sci & Technol, Engn Res Ctr Proc Syst Engn, Minist Educ, Shanghai 200237, Peoples R China 5.Chinese Acad Sci, Res Ctr Fictitious Econ & Data Sci, Beijing 100080, Peoples R China 6.ETH, Chair Entrepreneurial Risks, Dept Management Technol & Econ, CH-8032 Zurich, Switzerland 7.Univ Geneva, Swiss Finance Inst, CH-1211 Geneva 4, Switzerland |
| 推荐引用方式 GB/T 7714 | Zhou, Wei-Xing,Sornette, Didier. Numerical investigations of discrete scale invariance in fractals and multifractal measures[J]. Physica a-statistical mechanics and its applications,2009,388(13):2623-2639. |
| APA | Zhou, Wei-Xing,&Sornette, Didier.(2009).Numerical investigations of discrete scale invariance in fractals and multifractal measures.Physica a-statistical mechanics and its applications,388(13),2623-2639. |
| MLA | Zhou, Wei-Xing,et al."Numerical investigations of discrete scale invariance in fractals and multifractal measures".Physica a-statistical mechanics and its applications 388.13(2009):2623-2639. |
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来源：中国科学院大学
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