Hopf bifurcation analysis and circuit implementation for a novel four-wing hyper-chaotic system

被引：19

作者：

Xue Wei ^{[1
]}

Qi Guo-Yuan ^{[2
]}

Mu Jing-Jing ^{[1
]}

Jia Hong-Yan ^{[1
]}

Guo Yan-Ling ^{[2
]}

机构：

[1] Tianjin Univ Sci & Technol, Dept Automat, Tianjin 300222, Peoples R China

[2] Tshwane Univ Technol, Dept Elect Engn, FSATI, ZA-0001 Pretoria, South Africa

来源：

CHINESE PHYSICS B | 2013年 / 22卷 / 08期

基金：

中国国家自然科学基金; 新加坡国家研究基金会;

关键词：

hyper-chaos; four-wing chaotic system; one equilibrium; Hopf bifurcation; circuit implementation; ATTRACTOR;

D O I：

10.1088/1674-1056/22/8/080504

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the paper, a novel four-wing hyper-chaotic system is proposed and analyzed. A rare dynamic phenomenon is found that this new system with one equilibrium generates a four-wing-hyper-chaotic attractor as parameter varies. The system has rich and complex dynamical behaviors, and it is investigated in terms of Lyapunov exponents, bifurcation diagrams, Poincare maps, frequency spectrum, and numerical simulations. In addition, the theoretical analysis shows that the system undergoes a Hopf bifurcation as one parameter varies, which is illustrated by the numerical simulation. Finally, an analog circuit is designed to implement this hyper-chaotic system.

引用

页数：8

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