Instability of TCP-RED in a tandem network

Due to the quality of some services, jitter should be minimized in the network. To avoid jitter, the authors adopt a discrete time feedback system model for a TCP (Transmission Control Protocol) network with RED(Random Early Detection) in a tandem network. On the basis of this model, jitter is known that it is caused by the instability of the network. In order to analyze the instability, the model while one system parameter gradually changes and other system parameter keep still is simulated. Then it is obtained that bifurcation behavior occurs, leading to chaotic behavior while the system parameter increases. Hence, the new router should be set accurately when it is connected to the existed network. Moreover, it is asserted that our work will have instructive impact on configuring the router.