DEGENERATE HOPF BIFURCATIONS AND THE FORMATION MECHANISM OF CHAOS IN THE QI 3-D FOUR-WING CHAOTIC SYSTEM

被引：0
|
作者：
Liang, Hongtao [1 ]
Tang, Yanxia [2 ]
Li, Li [3 ]
Wei, Zhouchao [4 ]
Wang, Zhen [5 ]
机构：
[1] Wuyi Univ, Lab Management Ctr, Wuyishan 354300, Peoples R China
[2] Hebei North Univ, Coll Sci, Dept Math, Zhangjiakou 075000, Peoples R China
[3] Chinese Acad Sci, Wuhan Bot Garden, Wuhan 430074, Peoples R China
[4] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China
[5] Xijing Univ, Dept Fdn, Xian 710000, Peoples R China
来源：
KYBERNETIKA | 2013年 / 49卷 / 06期
关键词：
four-wing chaotic attractors; Lyapunov coefficient; degenerate Hopf bifurcations; period-doubling cascade; DYNAMICAL ANALYSIS; ATTRACTORS;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system.
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收藏
页码：935 / 947
页数：13
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