专题论文

统一混合模型网络的熵——揭开复杂系统复杂性表现

  • 李永 ,
  • 方锦清 ,
  • 刘强
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  • 中国原子能科学研究院核技术应用研究所, 北京 102413
李永,副研究员,研究方向为复杂网络理论与应用,电子信箱:liyong401@163.com

收稿日期: 2017-05-11

  修回日期: 2017-07-11

  网络出版日期: 2017-07-29

An entropy approach to complexity of networks generated with the unified hybrid network model:Complexity of complex systems

  • LI Yong ,
  • FANG Jinqing ,
  • LIU Qiang
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  • Department of Nuclear Technology Application, China Institute of Atomic Energy, Beijing, 102413, China

Received date: 2017-05-11

  Revised date: 2017-07-11

  Online published: 2017-07-29

摘要

统一混合网络理论模型引入4个混合比,对复杂网络相关的随机性、确定性、变速增长进行调控,这样更符合随机性与确定性统一的现实世界网络。总结了复杂网络的3种类型熵:Boltzmann-Gibbs熵、非广延熵Sq和开放网络的熵与混合比之间的关系。熵从本质上揭示了网络的熵变与无标度网络的幂律指数之间的函数关系,阐明了复杂网络的演化机制及复杂性变化的特点。

本文引用格式

李永 , 方锦清 , 刘强 . 统一混合模型网络的熵——揭开复杂系统复杂性表现[J]. 科技导报, 2017 , 35(14) : 56 -62 . DOI: 10.3981/j.issn.1000-7857.2017.14.007

Abstract

Four hybrid ratios are introduced into the unified hybrid network model. They are more in line with the randomness, the uncertainty and the variable growing in the real world network. This paper discusses three types of entropy of complex networks:the Boltzmann-Gibbs entropy (BGS), the extensive entropy Sq, and the open network entropy, as well as the relationship between the entropy and the hybrid ratios. From the essence of entropy, the function expression between the changing entropy of the network and the power-law of the scale-free network is revealed. Also the characteristics of the evolution mechanism and the complexity of the network are expounded.

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