Stroboscopic model and bifurcations in TCP/RED

In this paper, we derive a simple first-order discrete-time model for the transmission control protocol (TCP) with random early detection (RED). We view the network as a discrete feedback control system where TCP adjusts its sending rate depending on whether or not it has detected a packet loss. We then use a stroboscopic map to investigate bifurcations and chaos in a TCP/RED system with a single connection.