The mean field model and analysis on the dynamical behavious for network traffic

  • Authors:

  • Lei Ting;Yu Zhen-Wei

  • Affiliations:

  • College of science, Beijing Forestry University, Beijing, China;School of Mechanical Electronic, China University of Mining & Technology, Beijing, China

  • Venue:
  • CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
  • Year:
  • 2009

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Abstract

In a recent study, the chaotic phenomena of traffic has became an attractived topic in the filed of computer network. Based on theroy of mean field, the mathmatics model for describing the dynamic behavious of network traffic is presented, dynamical properties of this model are also analysed. It is shown that dynamical properties of the model is closely linked to the combination control parameter coupled by the some key factors including the average of the shortest-path, the average degree of nodes, the load of traffic, and the proportion of hosts; It is indicated, with the change of the combination control parameter, traffic behavious can transfer periodicity property to chaos property by the way of multi- periodicity bifurcation. Results further testify the chaos beavious is an intrinsic nature in the sysetm of network traffic.