Hopf bifurcation of a Lienard differential equation with delay-dependent coefficients

被引：0
|
作者：
Ma Suqi [1 ]
Lu Qishao
Hou Shicong
机构：
[1] China Agr Univ, Sch Sci, Beijing 100083, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, Sch Sci, Beijing 100083, Peoples R China
来源：
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS | 2007年 / 14卷
关键词：
delay; Hopf bifurcation; Lienard differential equation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Lienard differential equation with delay dependent coefficients is investigated. The analysis on the stability of the trivial solution is completed. As the time delay increases, the trivial may change from being stable to unstable. The sufficient criterion for the appearance of the oscillation periodic solution is also given out. By means of the center manifold theory, the direction of the Hopf bifurcation is computed. Finally, some examples enrich the contents and numerical simulations show the predicted properties of periodic oscillations.
引用
收藏
页码：269 / 273
页数：5
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