A note on the fractional-order Chen system

被引:308
作者
Lu, JG
Chen, GR
机构
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200030, Peoples R China
[2] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.chaos.2005.04.037
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we numerically investigate the chaotic behaviors of the fractional- order Chen system. A striking finding is that the lowest order for this system to have chaos is 0.3, which is the lowest-order chaotic system among all the found chaotic systems to date. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:685 / 688
页数:4
相关论文
共 21 条
[1]   Chaos in fractional-order autonomous nonlinear systems [J].
Ahmad, WM ;
Sprott, JC .
CHAOS SOLITONS & FRACTALS, 2003, 16 (02) :339-351
[2]   Chaotic behavior in noninteger-order cellular neural networks [J].
Arena, P ;
Fortuna, L ;
Porto, D .
PHYSICAL REVIEW E, 2000, 61 (01) :776-781
[3]   Bifurcation and chaos in noninteger order cellular neural networks [J].
Arena, P ;
Caponetto, R ;
Fortuna, L ;
Porto, D .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (07) :1527-1539
[4]   FRACTIONAL ORDER STATE-EQUATIONS FOR THE CONTROL OF VISCOELASTICALLY DAMPED STRUCTURES [J].
BAGLEY, RL ;
CALICO, RA .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1991, 14 (02) :304-311
[5]   FRACTAL SYSTEM AS REPRESENTED BY SINGULARITY FUNCTION [J].
CHAREF, A ;
SUN, HH ;
TSAO, YY ;
ONARAL, B .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (09) :1465-1470
[6]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[7]   Chaotic dynamics of the fractional Lorenz system [J].
Grigorenko, I ;
Grigorenko, E .
PHYSICAL REVIEW LETTERS, 2003, 91 (03)
[8]   CHAOS IN A FRACTIONAL ORDER CHUAS SYSTEM [J].
HARTLEY, TT ;
LORENZO, CF ;
QAMMER, HK .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (08) :485-490
[9]  
Heaviside O., 1971, Electromagnetic Theory
[10]  
Hilfer R, 2001, APPL FRACTIONAL CALC