| 基于多个无标度区的多重分形分析方法 |
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| 引用本文： | 陈亦望,徐鑫,傅强. 基于多个无标度区的多重分形分析方法[J]. 计算物理, 2010, 27(6): 905-911 |
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| 作者姓名： | 陈亦望 徐鑫 傅强 |
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| 作者单位： | 1. 解放军理工大学科研部, 江苏 南京 210007;2. 解放军理工大学工程兵工程学院, 江苏 南京 210007;3. 解放军理工大学理学院, 江苏 南京 211101 |
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| 摘 要： | 用计算机模拟生成了多重分形结构,通过对比分析结构的解析多重分形谱和配分函数法计算得到的多重分形谱,总结出多重分形谱可以描述结构在某一无标度区内生长规律的特性,发现结构的各个无标度区都具有研究价值,针对传统方法不能充分利用数据的缺陷,提出了基于多个无标度区的多重分形谱计算方法.
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| 关 键 词： | 多重分形 配分函数 标度 |
| 收稿时间： | 2009-10-10 |
| 修稿时间： | 2010-05-26 |
Multifractal Analysis Method Based on Several Scale-free Zones |
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| CHEN Yiwang,XU Xin,FU Qiang. Multifractal Analysis Method Based on Several Scale-free Zones[J]. Chinese Journal of Computational Physics, 2010, 27(6): 905-911 |
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| Authors: | CHEN Yiwang XU Xin FU Qiang |
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| Affiliation: | 1. Ministry of Scientific Research, PLA University of Science and Tecnology, Nanjing 210007, China;2. Engineerings Institute of Engineering Corps, PLA University of Science and Tecnology, Nanjing 210007, China;3. Institute of Science, PLA University of Science and Tecnology, Nanjing 211101, China |
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| Abstract: | Formation of multifractal structure is simulated.Through a contrastive analysis on analytic,multifractal spectrum of structure and calculated multifractal spectrum with partition function,it is found that multifractal spectrum can describe structure growth pattern in a certain scale-free zone.It is found that all structure scale-free zones exhibit value of research.Since traditional multifractal analysis method can not make full use of the data in a structure,we propose a new method to calculate multifractal spectrum based on several scale-free zones. |
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| Keywords: | multifractal partition function scale |
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