无线网络拥塞控制中流体流模型的Hopf分岔及其稳定性  

Stability and Hopf Bifurcation of a Fluid-Flow Model for Congestion Control in Wireless Networks

作　　者：侯萍[1,2] 王执铨[1] 

机构地区：[1]南京理工大学自动化学院,南京210094 [2]南京人口管理干部学院,南京210042

出　　处：《电子与信息学报》2010年第4期983-987,共5页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(60574082)资助课题

摘　　要：该文对一个用于无线网络拥塞控制算法设计的具有通信时延的流体流模型进行Hopf分岔分析,以通信时延作为分岔参数,证明此模型Hopf分岔的存在性,并应用中心流形和规范型理论推导出确定Hopf分岔方向和分岔周期解稳定性的计算公式,数值仿真验证了结论的有效性。This paper focuses on the Hopf bifurcation analysis of a fluid-flow model with time-delay for the congestion control algorithm in the wireless networks. By choosing the communication delay as a bifurcation parameter,the model exhibits of Hopf bifurcation are proved. The formulas for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions are obtained by applying the center manifold theorem and the normal form theory. Finally,a numerical simulation is presented to verify the theoretical results.

关 键 词：无线网络 HOPF分岔 拥塞控制 时延系统 

分 类 号：TP393[自动化与计算机技术—计算机应用技术] TP273[自动化与计算机技术—计算机科学与技术]