Hopf bifurcation and uncontrolled stochastic traffic-induced chaos in an RED-AQM congestion control system

Wang, Jun-Song, Yuan, Rui-Xi, Gao, Zhiwei and Wang, De-jing (2011) Hopf bifurcation and uncontrolled stochastic traffic-induced chaos in an RED-AQM congestion control system. Chinese Physics B, 20 (9). ISSN 1674-1056

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Official URL: http://dx.doi.org/10.1088/1674-1056/20/9/090506

Abstract

We study the Hopf bifurcation and the chaos phenomena in a random early detection-based active queue management (RED-AQM) congestion control system with a communication delay. We prove that there is a critical value of the communication delay for the stability of the RED-AQM control system. Furthermore, we show that the system will lose its stability and Hopf bifurcations will occur when the delay exceeds the critical value. When the delay is close to its critical value, we demonstrate that typical chaos patterns may be induced by the uncontrolled stochastic traffic in the RED-AQM control system even if the system is still stable, which reveals a new route to the chaos besides the bifurcation in the network congestion control system. Numerical simulations are given to illustrate the theoretical results.

Item Type: Article
Subjects: H600 Electronic and Electrical Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Faculties > Engineering and Environment > Physics and Electrical Engineering
Depositing User: Zhiwei Gao
Date Deposited: 08 Oct 2012 11:08
Last Modified: 19 Oct 2015 13:52
URI: http://nrl.northumbria.ac.uk/id/eprint/9493

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