Nonlinear Behaviors and its Control in Internet Congestion
Tong Qian, Xu Yao · 2004
Congestion control is becoming increasingly important nowadays due to explosive expansion and rapid growth of traffic in the Internet. They are inherently very complex nonlinear dynamic problems. In this article we in-vestigate nonlinear behaviors of TCP with random early detection(RED)gateways such as bifurcation, chaos as well as robust stability of RED. Both linear and nonlinear drop functions are considered. We also deduce the stability con-ditions of adaptive RED and proportional derivative RED algorisms controlling bifurcations and chaos. Simulation re-sults explicitly manifest the effective outcomes of above two algorisms.