Abstract:In this paper, we study a rate-based congestion control system with communication delay. We drive the condition on delay parameter under which Hopf bifurcation occurs. By taking delay as a bifurcation parameter and changing it, we find the critical value of delay such that the system passes the critical point and a periodic solution bifurcates from the equilibrium point. The model considered in this paper is a nonlinear delay differential equation which stands for a network with fixed communication delay. The … Show more
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