Stability and Hopf bifurcation of a class of TCP/AQM networks
In this paper，the local dynamics around the equilibrium of a class of TCP/AQM networks with proportional feedback is investigated，and the e?ect of the communication delay on the stability is addressed. It is found that the internet system keeps stable if the delay is not large，and it exhibits good performance only for mediate delay in the stable interval，NOT the case as expected: the smaller the better. In addition，a Hopf bifurcation occurs after the equilibrium loses its stability，and the method of multiple scales（MMS) is used to calculate the bifurcated periodic solution，and to determine the direction of the bifurcation，and to determine the stability of the periodic motion resulted from the bifurcation. The method of multiple scales involves easy computation and yields prediction on the bifurcated periodic solution in very good agreement with the numerical results.
拥塞控制 周期解 网络稳定性
Wang Zaihua Zheng Yuanguang
Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, 210016 Nanjing, China
国内会议
第十二届全国非线性振动暨第九届全国非线性动力学和运动稳定性学术会议
南京
英文
1-10
2009-05-15（万方平台首次上网日期，不代表论文的发表时间）