中国邮电高校学报(英文) ›› 2009, Vol. 16 ›› Issue (4): 53-58.doi: 10.1016/S1005-8885(08)60248-4

• Networks • 上一篇    下一篇

Nonlinear dynamics in Internet congestion control model with TCP Westwood under RED

丁大为, 朱杰,罗晓曙,黄林生胡艳军   

  1. Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei 230039, China
  • 收稿日期:2008-06-29 修回日期:1900-01-01 出版日期:2009-08-31
  • 通讯作者: 丁大为

Nonlinear dynamics in Internet congestion control model with TCP Westwood under RED

DING Da-wei, ZHU Jie, LUO Xiao-shu, HUANG Lin-sheng, HU Yan-jun   

  1. Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei 230039, China
  • Received:2008-06-29 Revised:1900-01-01 Online:2009-08-31
  • Contact: DING Da-wei

摘要:

This article develops a discrete time dynamic feedback model of a congestion control system for a simple network with TCP Westwood (TCPW) connections and a single bottleneck link with random early detection (RED) gateway. By using this model, the nonlinear dynamics of the TCPW/RED network are analyzed and its parameter sensitivities are studied. It is shown that periodic doubling bifurcation occurs when the RED control parameters or other parameters are varied. By theoretical analysis, the fixed point, the critical value of parameters and the nature of the bifurcation are determined. Moreover, by using bifurcation diagrams and Lyapunov exponent, the result of theoretical analysis is validated and the bifurcation and chaotic phenomena are numerically studied of the congestion control system with TCPW connections and RED gateway.

关键词:

nonlinear;system,;bifurcation,;chaos,;congestion;control,;TCP;Westwood,;RED

Abstract:

This article develops a discrete time dynamic feedback model of a congestion control system for a simple network with TCP Westwood (TCPW) connections and a single bottleneck link with random early detection (RED) gateway. By using this model, the nonlinear dynamics of the TCPW/RED network are analyzed and its parameter sensitivities are studied. It is shown that periodic doubling bifurcation occurs when the RED control parameters or other parameters are varied. By theoretical analysis, the fixed point, the critical value of parameters and the nature of the bifurcation are determined. Moreover, by using bifurcation diagrams and Lyapunov exponent, the result of theoretical analysis is validated and the bifurcation and chaotic phenomena are numerically studied of the congestion control system with TCPW connections and RED gateway.

Key words:

nonlinear system;bifurcation;chaos;congestion control;TCP Westwood;RED