Controlling bifurcation and chaos in Internet congestion control model. (English) Zbl 1129.37362

Chen, Liang; Wang, Xiao Fan; Han, Zheng Zhi

Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 5, 1863-1876 (2004).

Summary: The TCP end-to-end congestion control plus RED router queue management can be modeled as a discrete-time dynamical system, which can create complex bifurcating and chaotic behavior. Based on the basic features of the TCP-RED model, we investigate the possibility of controlling bifurcation and chaos in the system via several time-delayed feedback control strategies. Two adaptive parameter-tuning algorithms are proposed and evaluated.

MSC:

37N99	Applications of dynamical systems
90B18	Communication networks in operations research

Keywords:

Bifurcation; chaos; congestion control; time-delayed; adaptive control

Software:

DRED

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