| 互联网时滞对偶拥塞控制模型动力学特征的分析与计算 |
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| 引用本文： | 刘玉良,张华,朱杰.互联网时滞对偶拥塞控制模型动力学特征的分析与计算[J].计算物理,2010,27(6):940-946. |
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| 作者姓名： | 刘玉良 张华 朱杰 |
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| 作者单位： | 1. 浙江海洋学院电子信息系, 浙江 舟山 316004;2. 上海交通大学电子工程系, 上海 200240;3. 浙江船舶工程重点实验室, 浙江 舟山 316000 |
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| 基金项目： | 国家自然科学基金，浙江海洋学院科研基金 |
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| 摘 要： | 以互联网拥塞控制的一种时滞对偶改进模型为研究对象,应用标准形理论、中心流形定理和霍普夫分岔理论,从动力学角度研究互联网拥塞控制的分岔与稳定性分析方法.研究表明,模型的分岔与稳定性主要由通信时延决定,当通信时延超过临界值时模型产生分岔现象,使互联网的链路代价函数发生振荡.并得到该模型的分岔方向及分岔周期解等动力学特征的定量计算公式,为时滞对偶模型的设计提供理论依据.研究结论概括为两个定理,其正确性得到计算机仿真验证.
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| 关 键 词： | 分岔 动力学 拥塞控制 时滞对偶 |
| 收稿时间： | 2009-10-09 |
| 修稿时间： | 2010-02-23 |
Dynamical Character of an Improved Time-delayed Dual Model for Internet Congestion Control |
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| LIU Yuliang,ZHANG Hua,ZHU Jie.Dynamical Character of an Improved Time-delayed Dual Model for Internet Congestion Control[J].Chinese Journal of Computational Physics,2010,27(6):940-946. |
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| Authors: | LIU Yuliang ZHANG Hua ZHU Jie |
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| Institution: | 1. Department of Electronic Information, Zhejiang Ocean University, Zhoushan 316004, China;2. Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200240, China;3. Zhejiang Ship Engineering Key Laboratory, Zhoushan 316000, China |
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| Abstract: | An improved time-delayed dual model for internet congestion control is investigated.Normal form theory,center manifold theorem and Hopf bifurcation theory are used for analysis.Bifurcation and stability analysis are mainly decided by communication time delay.As the delay passes through a critical value,Hopf bifurcation forms,which leads to a large oscillation of link price function.In addition,bifurcation direction and bifurcation periodic solution are derived,which provide model design with theoretical foundations.This work is summarized as two theorems verified by numerical simulations. |
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| Keywords: | bifurcation dynamics congestion control time-delayed dual |
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