Bifurcation analysis of an Internet congestion control model

We investigate the bifurcation behavior of a discrete-time model of Internet congestion control system, which stands for a single link shared by multiple sources. By choosing the gain parameter and the number of sources as bifurcation parameters, we prove the existence of period doubling bifurcation in the model and study the stability of bifurcation. We also find that chaotic behavior of the model can be controlled by limiting the amplitudes of the sending rates.