中国物理B ›› 2011, Vol. 20 ›› Issue (5): 50506-050506.doi: 10.1088/1674-1056/20/5/050506

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Correlation dimension based nonlinear analysis of network traffics with different application protocols

袁静1, 李强1, 袁睿翕1, 王俊松2   

  1. (1)Department of Automation, Tsinghua University, Beijing 100084, China; (2)School of Biomedical Engineering, Tianjin Medical University, Tianjin 300070, China;Department of Automation, Tsinghua University, Beijing 100084, China
  • 收稿日期:2010-05-29 修回日期:2010-12-05 出版日期:2011-05-15 发布日期:2011-05-15
  • 基金资助:
    Project supported in part by the National High Technology Research and Development Program of China (Grant No. 2007AA01Z480).

Correlation dimension based nonlinear analysis of network traffics with different application protocols

Wang Jun-Song (王俊松)ab, Yuan Jing (袁静)b, Li Qiang (李强)b, Yuan Rui-Xi (袁睿翕)b   

  1. a School of Biomedical Engineering, Tianjin Medical University, Tianjin 300070, China; b Department of Automation, Tsinghua University, Beijing 100084, China
  • Received:2010-05-29 Revised:2010-12-05 Online:2011-05-15 Published:2011-05-15
  • Supported by:
    Project supported in part by the National High Technology Research and Development Program of China (Grant No. 2007AA01Z480).

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摘要： This paper uses a correlation dimension based nonlinear analysis approach to analyse the dynamics of network traffics with three different application protocols--HTTP, FTP and SMTP. First, the phase space is reconstructed and the embedding parameters are obtained by the mutual information method. Secondly, the correlation dimensions of three different traffics are calculated and the results of analysis have demonstrated that the dynamics of the three different application protocol traffics is different from each other in nature, i.e. HTTP and FTP traffics are chaotic, furthermore, the former is more complex than the later; on the other hand, SMTP traffic is stochastic. It is shown that correlation dimension approach is an efficient method to understand and to characterize the nonlinear dynamics of HTTP, FTP and SMTP protocol network traffics. This analysis provided insight into and a more accurate understanding of nonlinear dynamics of internet traffics which have a complex mixture of chaotic and stochastic components.

关键词: application protocol, network traffic, correlation dimension, chaos

Abstract: This paper uses a correlation dimension based nonlinear analysis approach to analyse the dynamics of network traffics with three different application protocols--HTTP, FTP and SMTP. First, the phase space is reconstructed and the embedding parameters are obtained by the mutual information method. Secondly, the correlation dimensions of three different traffics are calculated and the results of analysis have demonstrated that the dynamics of the three different application protocol traffics is different from each other in nature, i.e. HTTP and FTP traffics are chaotic, furthermore, the former is more complex than the later; on the other hand, SMTP traffic is stochastic. It is shown that correlation dimension approach is an efficient method to understand and to characterize the nonlinear dynamics of HTTP, FTP and SMTP protocol network traffics. This analysis provided insight into and a more accurate understanding of nonlinear dynamics of internet traffics which have a complex mixture of chaotic and stochastic components.

Key words: application protocol, network traffic, correlation dimension, chaos

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
47.52.+j (Chaos in fluid dynamics)