The generation and circuit implementation of a new hyper-chaos based upon Lorenz system

被引：93

作者：

Gao, Tiegang ^{[1
]}

Chen, Guanrong

Chen, Zengqiang

Cang, Shijian

机构：

[1] Nankai Univ, Software Coll, Tianjin 300070, Peoples R China

[2] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

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

来源：

PHYSICS LETTERS A | 2007年 / 361卷 / 1-2期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

chaos; Lorenz system; hyper-chaos; bifurcation; circuit implementation;

D O I：

10.1016/j.physleta.2006.09.042

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This Letter presents a new hyper-chaotic system, which was obtained by adding a nonlinear quadratic controller to the second equation of the three-dimensional autonomous modified Lorenz chaotic system. The resulting hyper-chaotic system undergoes a change from hyper-chaos to limit cycle with some of its parameters changed. The phenomena were demonstrated by numerical simulations, bifurcation analysis and electronic circuit realization. The experiment results of the hyper-chaotic circuit were well agreed with the simulation results. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：78 / 86

页数：9

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