中国物理B ›› 2007, Vol. 16 ›› Issue (1): 47-50.doi: 10.1088/1009-1963/16/1/008

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Strength dynamics of weighted evolving networks

吴建军, 高自友, 孙会君   

  1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China;School of Traffic and Transportation, Beijing Jiaotong University,Beijing 100044, China
  • 收稿日期:2006-01-09 修回日期:2006-05-12 出版日期:2007-02-01 发布日期:2007-02-01
  • 基金资助:
    roject supported by the National Outstanding Young Investigator of China (Grant No 70225005), and the National Natural Science Foundation of China (Grant Nos 70501005 and 70501004), and the Natural Science Foundation of Beijing (Grant No 9042006), the In

Strength dynamics of weighted evolving networks

Wu Jian-Jun(吴建军)a)b)†, Gao Zi-You(高自友)a)b)‡, and Sun Hui-Jun(孙会君)a)b)   

  1. a State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China; b School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
  • Received:2006-01-09 Revised:2006-05-12 Online:2007-02-01 Published:2007-02-01
  • Supported by:
    roject supported by the National Outstanding Young Investigator of China (Grant No 70225005), and the National Natural Science Foundation of China (Grant Nos 70501005 and 70501004), and the Natural Science Foundation of Beijing (Grant No 9042006), the In

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摘要： In this paper, a simple model for the strength dynamics of weighted evolving networks is proposed to characterize the weighted networks. By considering the congestion effects, this approach can yield power law strength distribution appeared on the many real weighted networks, such as traffic networks, internet networks. Besides, the relationship between strength and degree is given. Numerical simulations indicate that the strength distribution is strongly related to the strength dynamics decline. The model also provides us with a better description of the real weighted networks.

关键词: strength dynamics, weighted, complex networks

Abstract: In this paper, a simple model for the strength dynamics of weighted evolving networks is proposed to characterize the weighted networks. By considering the congestion effects, this approach can yield power law strength distribution appeared on the many real weighted networks, such as traffic networks, internet networks. Besides, the relationship between strength and degree is given. Numerical simulations indicate that the strength distribution is strongly related to the strength dynamics decline. The model also provides us with a better description of the real weighted networks.

Key words: strength dynamics, weighted, complex networks

中图分类号:  (Computational methods in statistical physics and nonlinear dynamics)

  • 05.10.-a
05.45.-a (Nonlinear dynamics and chaos) 05.90.+m (Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)