东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2006, Vol. 27 ›› Issue (8): 867-870.DOI: -

• 论著 • 上一篇    下一篇

学生网的生长态势及其分形特征分析

徐野;赵海;苏威积;张昕;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院;东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2006-08-15 发布日期:2013-06-23
  • 通讯作者: Xu, Y.
  • 作者简介:-
  • 基金资助:
    国家高技术研究发展计划项目(863-317-01-04-99,2001AA415320)

Analysis of growth of student network and its fractal characteristics

Xu, Ye (1); Zhao, Hai (1); Su, Wei-Ji (1); Zhang, Xin (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2006-08-15 Published:2013-06-23
  • Contact: Xu, Y.
  • About author:-
  • Supported by:
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摘要： 基于研究生物种群生长的Logistic模型,根据一个实际的学生网在增长中的振荡特点,改进Logistic模型形式,然后通过浮点型遗传算法进行拟合,得到学生网增长的拟合模型,并分析了其收敛性及可信度.最后通过学生网增长的时间序列,根据分维算法,计算得到学生网增长的分数维,得出学生网在增长过程中确实具有分形特征的结论.

关键词: 复杂网络, 学生网络, 增长态势, 浮点GA, 分形, 关联维数

Abstract: Analyzes the growth characteristics of some complex networks through a real student network (SN). Based on the logistic model for biocenologic growth, the characteristics of SN which grows oscillatorily are studied to improve the logistic model. The improved model is fitted with float-point GA to form a fitting model and its constringency and confidence are analyzed. Then, the fractal dimension of SN growth is calculated through the time series of SN growth, thus coming to a conclusion that the SN growth process is featured with fractal.

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