基于簇系数的相关性网络多重分形谱分析法及应用

Multifractal Spectrum Analysis Method and Its Application in Correlation Network Based on Clustering Coefficient

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摘要以复杂网络中的簇系数为测度,提出了针对产业相关网络的多重分形分析方法流程.基于该方法,通过对几个实际产业相关网络的多重分形谱进行分析,发现在实际相关网络中,普遍存在多重分形特性,并进一步对产业系统中产生多重分形特性的自组织机理进行说明. In this paper, Chang-Yong Lee＇s algorithm based on clustering coefficient is used as a measure to analyze real complex industrial networks. Through the analysis on the multi- fractal spectrum of several industrial competition complex networks, real complex competition networks are verified with widespread multifractal characteristics Multifractal characteristics of industrial competition complexity system reveal self-organization and multi-dimensional characteristics of the structure. Finally the industrial meaning of the multifractality in industrial competition complex networks is illustrated.

作者姚灿中

机构地区华南理工大学经济与贸易学院华南理工大学产业与城镇发展研究中心

出处《数学的实践与认识》北大核心 2016年第7期18-24,共7页 Mathematics in Practice and Theory

基金国家自然科学基金(71201060 71173076) 教育部高校博士点基金(20120172120051) 广州市人文社会科学重点研究基地中央高校基本科研业务费专项基金(2014XZD06 2015ZZ059 2015ZDXM04) 广东省教育厅特色创新项目(人文社科类)(2014WTSCX001) 广东现代服务业公共支撑平台的开发与应用研究省部产学研重大专项课题(2009B090200062)

关键词多重分形产业相关复杂网络自相似 multifractality industrial competition complex networks self-similar properties

分类号 O157.5 [理学—基础数学]

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参考文献15

1Watts, Strogatz. Collective dynamic of small world network [J]. Nature, 1998, 393: 440-442.
2Barabelsi A L, Albert R. Emergence of scaling in random networks [J]. Science, 1999, 286: 509-512.
3Jian Mei Yang, Lv Ping Lu, Wang Dan Xie, Guan Rong Chen, Dong Zhuang. On Competitive Relationship networks: A new method for industrial competition analysis [J]. Physica A, 2007, 382(2): 704-714.
4Yang Jian Mei, Huang Xi Zhong, Zhuang Dong, Zhang Sheng Tao. The complex network analysis of competitive relationships between manufacturers in foshan ceramic industry cluster [C]// Pro- ceedings of 2006 International conference on management science z Engineering, 2006: 1020-1023.
5王文杰.中国家电产业相关关系复杂网络分析[D].华南理工大学工程硕士学位论文.2006.10.
6姚灿中,杨建梅.幂律拟合的进展及其在产业网络中的应用[J].管理学报,2008,5(3):371-375. 被引量：11
7Mandelbrot B B, Passoja D E, Paullay A J. Fractal character of fracture surface of metals [J]. Nature, 1984, 308(19): 721-723.
8Stanley H E, Meakin P. Multifractal phenomena in physics and chemistry [J]. Nature, 1998, 335(6189) 405-409.
9Brown G, Michon G, Peyriere J. On the multi-fractal analysis of measures [J]. Journal of Stat Phys, 1992, 66: 775-790.
10Song Chao ming, Havlin Shlomo, Makse Hernn A. Self-similarity of complex networks [J]. Nature, 2005, 433: 392-395.

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二级参考文献19

1张培培,何阅,周涛,苏蓓蓓,常慧,周月平,汪秉宏,何大韧.一个描述合作网络顶点度分布的模型[J].物理学报,2006,55(1):60-67. 被引量：39
2[1]Scott J.Social Network Analysis:A Handbook[M].Newberry Park:CA Publication,2000.
3[2]Watts D J,Strogatz S H.Collective Dynamics of 'Small-world' Networks[J].Nature,1998,393:440-442.
4[3]Barabási A L,Albert R.Emergence of Scaling in Random Networks[J].Science,1999,286:509-512.
5[4]Grannovetter M.Revisiting Coase:Business Groups in the Modern Economy.In Grannovetter and Richard Swedberg,The Sociology of Economic Life-Second Edition[M].Boulder:Westview Press Inc,2000.
6[14]YANG J M,HUANG X Z,ZHUANG D,et al.The Complex Network Analysis of Competitive Relationships between Manufacturers in Foshan Ceramic Industry Cluster[D].Frauce:International conference on management science & Engineering,2006.
7[17]MALACARNE L C,MENDES R S,LENZI E K.q-Exponential Distribution in Urban Agglomeration[EB/OL].[2007-05-21].http://pre.aps.org.
8[1]CLAUSET A,SHALIZI C R,NEWMAN M E J.Power-Law Distributions in Empirical Data[EB/OL].[2007-06-07].http://arxiv.org/abs/0706.1062.
9[2]BARABA'SI A L,ALBERT R,JEONG H,Mean-Field Theory for Scale-Free Random Networks[J].Physica A,1999,320(1):173～187.
10[3]BARABA'SI A L,ALBERT R.Emergence of Scaling in Random Networks[J].Science,1999,286:509～512.