A new butterfly-shaped attractor of Lorenz-like system

被引:48
作者
Liu, CX [1 ]
Liu, L
Liu, T
Li, P
机构
[1] Xian Jiaotong Univ, Xian 710049, Peoples R China
[2] SW Jiaotong Univ, Chengdu 610031, Peoples R China
关键词
D O I
10.1016/j.chaos.2004.09.111
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this letter a new butterfly-shaped chaotic attractor is reported. Some basic dynamical properties, such as Poincare mapping, Lyapunov exponents, fractal dimension, continuous spectrum and chaotic dynamical behaviors of the new chaotic system are studied. Furthermore, we clarify that the chaotic attractors of the system is a compound structure obtained by merging together two simple attractors through a mirror operation. (c) 2004 Published by Elsevier Ltd.
引用
收藏
页码:1196 / 1203
页数:8
相关论文
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