BIFURCATION ANALYSIS OF THE QI 3-D FOUR-WING CHAOTIC SYSTEM

被引:0
|
作者
Sun, Yanxia [1 ,2 ]
Qi, Guoyuan [1 ]
Wang, Zenghui [1 ,3 ]
van Wyk, Barend Jacobus [1 ]
机构
[1] Tshwane Univ Technol, Dept Elect Engn, F SATIE, ZA-0001 Pretoria, South Africa
[2] Univ Paris Est, EA 3956, LiSSi, F-94010 Paris, France
[3] Univ S Africa, Dept Elect & Min Engn, ZA-0719 Johannesburg, South Africa
来源
ACTA PHYSICA POLONICA B | 2010年 / 41卷 / 04期
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中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper analyzes the pitchfork and Hopf bifurcations of a new 3-D four-wing quadratic autonomous system proposed by Qi et al. The center manifold technique is used to reduce the dimensions of this system. The pitchfork and Hopf bifurcations of the system are theoretically analyzed. The influence of system parameters on other bifurcations are also investigated. The theoretical analysis and simulations demonstrate the rich dynamics of the system.
引用
收藏
页码:767 / 778
页数:12
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