A novel three-dimensional autonomous chaos system

被引：55

作者：

Liu, Chongxin ^{[1
]}

Liu, Ling ^{[1
]}

Liu, Tao ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Inst Elect Engn, State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 04期

关键词：

ATTRACTOR;

D O I：

10.1016/j.chaos.2007.06.079

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This letter reports a novel three-dimensional autonomous chaotic system. Some basic dynamical properties, such as Lyapunov exponents, Poincare mapping, fractal dimension, continuous spectrum and chaotic behaviors of this new transverse butterfly attractor are studied. Furthermore, the forming mechanism of its compound structure obtained by merging together two simple attractors after performing one mirror operation has been investigated by detailed numerical as well as theoretical analysis. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1950 / 1958

页数：9

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