Topological horseshoe analysis and the circuit implementation for a four-wing chaotic attractor

被引：15

作者：

Jia, Hong-Yan ^{[1
,2
]}

Chen, Zeng-Qiang ^{[2
]}

Qi, Guo-Yuan ^{[1
,3
]}

机构：

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

[2] Nankai Univ, Dept Automat, Tianjin 300071, Peoples R China

[3] Tshwane Univ Technol, FSATIE, ZA-0001 Pretoria, South Africa

来源：

NONLINEAR DYNAMICS | 2011年 / 65卷 / 1-2期

基金：

高等学校博士学科点专项科研基金; 新加坡国家研究基金会;

关键词：

Topological horseshoe; Circuit implementation; Four-wing chaotic attractor; QUADRATIC AUTONOMOUS SYSTEM; EXISTENCE; PROOF;

D O I：

10.1007/s11071-010-9879-z

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The paper first analyzes a newly reported three-dimensional four-wing chaotic attractor, and observes all kinds of attractors, including periodic and chaotic, by numerical simulation. Then, the chaotic characteristic of the system is proved by investigating the existence of a topological horseshoe in it, based on the topological horseshoe theory. At last, an electronic circuit is designed to implement the chaotic system. The results of circuit experiment coincided well with those of numerical simulation.

引用

页码：131 / 140

页数：10

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