@article {IOPORT.05655142,
    author       = {Yin, Huibing and Wang, Paul and Alpcan, Tansu and Mehta, Prashant G.},
    title        = {Hopf bifurcation and oscillations in a communication network with heterogeneous delays.},
    year         = {2009},
    journal      = {Automatica},
    volume       = {45},
    number       = {10},
    issn         = {0005-1098},
    pages        = {2358-2367},
    publisher    = {Elsevier Science Ltd. (Pergamon), Oxford},
    doi          = {10.1016/j.automatica.2009.06.012},
    abstract     = {Summary: We investigate stability, bifurcation and oscillations arising in a single-link communication network model with a large number of heterogeneous users adopting a Transmission Control Protocol (TCP)-like rate control scheme with an Active Queue Management (AQM) router. In the system considered, different user delays are known and fixed but taken from a given distribution. It is shown that for any given distribution of delays, there exists a critical amount of feedback (due to AQM) at which the equilibrium loses stability and a limit cycling solution is developed via a Hopf bifurcation. The nature (criticality) of the bifurcation is investigated with the aid of Lyapunov-Schmidt's perturbation method. The results of the analysis are numerically verified and provide valuable insights into dynamics of the AQM control system.},
    identifier   = {05655142},
}