Hopf Bifurcation and Oscillations in Homogeneous Communication Networks
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چکیده
In this paper, we investigate stability and bifurcation arising in a communication network model with a large number of homogeneous (symmetric) users and a single bottleneck AQM queue. We carry out bifurcation analysis to study the effect of user delay and strength of feedback. It is shown that for any given delay, there exists a critical amount of feedback (due to AQM) at which the equilibrium loses stability and a limit cycling solution develops via a super-critical Hopf bifurcation. The conclusion is verified both numerically and analytically.
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تاریخ انتشار 2008