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.

引用

页码：935 / 947

页数：13