Delayed Feedback Control and Bifurcation Analysis of an Autonomy System

被引：0
|
作者：
Wang, Zhen [1 ]
Zhao, Huitao [2 ,3 ]
Kong, Xiangyu [1 ]
机构：
[1] Beifang Univ Nationalities, Inst Informat & Syst Computat Sci, Yinchuan 750021, Ningxia, Peoples R China
[2] Zhoukou Normal Univ, Dept Math & Informat Sci, Zhoukou 466001, Henan, Peoples R China
[3] Kunming Univ Sci & Technol, Dept Appl Math, Kunming 650093, Yunnan, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
CHAOTIC SYSTEMS; STABILITY;
D O I：
10.1155/2013/167065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An autonomy system with time-delayed feedback is studied by using the theory of functional differential equation and Hassard's method; the conditions on which zero equilibrium exists and Hopf bifurcation occurs are given, the qualities of the Hopf bifurcation are also studied. Finally, several numerical simulations are given; which indicate that when the delay passes through certain critical values, chaotic oscillation is converted into a stable state or a stable periodic orbit.
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页数：10
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