西北师范大学学报（自然科学版）2019，Vol.55Issue(1)：8-15,8.DOI:10.16783/j.cnki.nwnuz.2019.01.002
具有时滞的流体流拥塞控制模型的稳定性及Hopf分支分析
Stability and Hopf bifurcation analysis of a fluid flow model with delay in Internet congestion control
摘要
Abstract
This paper mainly investigated a modified fluid flow model with time delay by using the control and bifurcation theory and discussed the effect of the communication delay on the stability.First, the communication delay is chosen as the bifurcation parameter, when the dealy value passes through the critical value, the equilibrium loses its stability and a Hopf bifurcation emerges.Besides, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are studied by using the center manifold theorem and the normal form theory.At last, some numerical simulation results are given to demonstrate the feasibility of the theoretical analysis.关键词
Hopf分支/稳定性/规范型理论/中心流形定理Key words
Hopf bifurcation/stability/normal form theory/center manifold theorem分类
数理科学引用本文复制引用
彭磊,翟延慧..具有时滞的流体流拥塞控制模型的稳定性及Hopf分支分析[J].西北师范大学学报（自然科学版）,2019,55(1):8-15,8.基金项目
国家自然科学基金资助项目(21676201) （21676201）
