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Hopf bifurcation analysis for congestion control with heterogeneous delays

✍ Scribed by Songtao Guo; Hongying Zheng; Qun Liu

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
508 KB
Volume
11
Category
Article
ISSN
1468-1218

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✦ Synopsis

In this paper, a congestion control algorithm with heterogeneous delays is considered. Local stability of the equilibrium solution of this algorithm is investigated based on analyzing the corresponding transcendental characteristic equation. Especially, using one of the system parameters of congestion control algorithm as the bifurcation parameter, when the system parameter exceeds a critical value, the congestion control algorithm undergoes a supercritical Hopf bifurcation, and the explicit formulae determining the stability and the direction of periodic solutions bifurcating from the equilibrium are obtained by applying Hassard et al.'s approaches. Finally, some numerical simulations are performed to verify the theoretical results.

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