Hopf bifurcation in a prototype delayed system

被引：12
|
作者：
Li, CG [1 ]
Liao, XF [1 ]
Yu, JB [1 ]
机构：
[1] Univ Elect Sci & Technol China, Lab 570, Inst Elect Syst, Coll Elect Engn, Chengdu 610054, Sichuan, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2004年 / 19卷 / 04期
关键词：
D O I：
10.1016/S0960-0779(03)00206-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A simple model described by an autonomous continuous delayed differential equation with one variable, proposed by Ucar, is considered in this paper. We will show that Hopf bifurcations occur in this simple system. The stability of bifurcating periodic solutions and the direction of Hopf bifurcations are determined by applying the normal form theory and the center manifold theorem. Finally, a numerical example is given to demonstrate the effectiveness of the theoretical analysis. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码：779 / 787
页数：9
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