| 复杂系统的标度律与层次结构分析 |
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| 引用本文： | 傅强,黄杨,钟纪华,张朝曦,黄鑫.复杂系统的标度律与层次结构分析[J].解放军理工大学学报,2009,10(4):356-361. |
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| 作者姓名： | 傅强 黄杨 钟纪华 张朝曦 黄鑫 |
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| 作者单位： | 解放军理工大学,理学院,江苏,南京,211101 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 为了对复杂非线性系统的特性进行分析,将用于分析湍流信号的标度律和层次结构理论,推广到对人脑电图、图像灰度分布和英文小说随机字母的分布等复杂信号进行统计分析.结果发现:这些复杂信号与湍流信号一样,也具有很好的扩展自相似ESS(extended self similarity)标度律和较明显的层次结构或相似律(Hierarchical Structure,简称HS层次结构理论).说明ESS标度律与SL层次结构理论具有定量刻画一般复杂信号统计规律的能力,它对揭示存在于一般复杂系统结构中的多尺度、多涨落和多强度(或激发状态)的统计自相似特性具有一定的普遍指导意义.
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| 关 键 词： | 复杂系统 标度律 层次结构 统计自相似 间歇性 |
Extended self similarity scaling law and hierarchical structures
in complex system |
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| FU Qiang,HUANG Yang,ZHONG Ji-hu,ZHANG Zhao-xi and HUANG Xin.Extended self similarity scaling law and hierarchical structures
in complex system[J].Journal of PLA University of Science and Technology(Natural Science Edition),2009,10(4):356-361. |
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| Authors: | FU Qiang HUANG Yang ZHONG Ji-hu ZHANG Zhao-xi and HUANG Xin |
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| Institution: | Institute of Sciences;PLA Univ.of Sci.& Tech.;Nanjing 211101;China |
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| Abstract: | To analyze the characteristics of complex nonlinear system,several complex signals were analyzed in the framework of the scaling law and Hierarchical Structure(HS) model of turbulence.It was shown that the Extended Self-Similarity(ESS) and Hierarchical Structure existed in all of these complex signals.This research proves that ESS and HS can depict the statistical law of the common complex signals quantitatively.The results also give a general indication to the research of multi-scale,multi-fluctuation and ... |
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| Keywords: | complex system scaling law hierarchical structure statistical self-similarity intermittency |
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