Codimension-2 Bautin bifurcation in the Lu system

被引：10
|
作者：
Lue, Zhuosheng [1 ]
Duan, Lixia
机构：
[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
来源：
PHYSICS LETTERS A | 2007年 / 366卷 / 4-5期
关键词：
Lu system; codimension; Bautin bifurcation; Hopf bifurcation;
D O I：
10.1016/j.physleta.2007.02.047
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, rigorous mathematical analysis as well as numerical simulations are used to study the codimension-2 Bautin bifurcation in the chaotic Lu system. Parameter conditions for the Bautin bifurcation are specified and analytical expressions of the bifurcation curves are presented. Consequently, parameter regions for the supercritical and subcritical Hopf bifurcations are also derived. The numerical results agree quite well with the analytical ones. (C) 2007 Elsevier B.V. All rights reserved.
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页码：442 / 446
页数：5
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