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In this paper the bifurcation and chaos behavior of a fluid flow model of Internet congestion control system including TCP and AQM is investigated. These bifurcation and chaotic behavior may cause heavy oscillation of average queue length and induce network instability. An impulsive control method was proposed for controlling bifurcations and chaos in the Internet congestion control system. Simulation results show that the nonlinear behavior of the system can be controlled by this method.