Linear stability and Hopf bifurcation in an exponential RED algorithm model

被引：11

作者：

Hu, Haijun ^{[1
]}

Huang, Lihong ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

NONLINEAR DYNAMICS | 2010年 / 59卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Linear stability; Hopf bifurcation; Exponential RED; Congestion control; FLUID-FLOW MODEL; CONGESTION CONTROL; NETWORKS; SYSTEMS; DESIGN;

D O I：

10.1007/s11071-009-9553-5

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We consider a novel congestion control model, i.e., the exponential RED algorithm with a single link and single source. Using the gain parameter of the system instead of the delay as the bifurcation parameter, the linear stability and Hopf bifurcation are investigated, and the stability and direction of the Hopf bifurcation are determined by employing the normal form method and the center manifold reduction. Numerical simulations are carried out to illustrate our theoretical results.

引用

页码：463 / 475

页数：13

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