A new chaotic attractor

被引：726

作者：

Liu, CX ^{[1
]}

Liu, T ^{[1
]}

Liu, L ^{[1
]}

Liu, K ^{[1
]}

机构：

[1] Xian Jiaotong Univ, Xian 710049, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2004年 / 22卷 / 05期

关键词：

D O I：

10.1016/j.chaos.2004.02.060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this letter a new chaotic system is discussed. Some basic dynamical properties, such as Lyapunov exponents, Poincare mapping, fractal dimension, continuous spectrum and chaotic behaviors of this new 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) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1031 / 1038

页数：8

共 6 条

[1] Dynamical analysis of a new chaotic attractor [J].

Lu, JH ;

Chen, GR ;

Zhang, SC .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05) :1001-1015

[2] The compound structure of a new chaotic attractor [J].

Lü, JH ;

Chen, GR ;

Zhang, SC .

CHAOS SOLITONS & FRACTALS, 2002, 14 (05) :669-672

[3]

Sparrow C., 1982, LORENZ EQUATIONS BIF

[4] Bifurcation analysis of Chen's equation [J].

Ueta, T ;

Chen, GR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (08) :1917-1931

[5] DETERMINING LYAPUNOV EXPONENTS FROM A TIME-SERIES [J].

WOLF, A ;

SWIFT, JB ;

SWINNEY, HL ;

VASTANO, JA .

PHYSICA D, 1985, 16 (03) :285-317

[6] Circuitry implementation and synchronization of Chen's attractor [J].

Zhong, GQ ;

Tang, WKS .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (06) :1423-1427

← 1 →