A note on the fractional-order Chen system

被引:307
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
    Ahmad, WM
    Sprott, JC
    [J]. CHAOS SOLITONS & FRACTALS, 2003, 16 (02) : 339 - 351
  • [2] Chaotic behavior in noninteger-order cellular neural networks
    Arena, P
    Fortuna, L
    Porto, D
    [J]. PHYSICAL REVIEW E, 2000, 61 (01): : 776 - 781
  • [3] Bifurcation and chaos in noninteger order cellular neural networks
    Arena, P
    Caponetto, R
    Fortuna, L
    Porto, D
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (07): : 1527 - 1539
  • [4] FRACTIONAL ORDER STATE-EQUATIONS FOR THE CONTROL OF VISCOELASTICALLY DAMPED STRUCTURES
    BAGLEY, RL
    CALICO, RA
    [J]. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1991, 14 (02) : 304 - 311
  • [5] FRACTAL SYSTEM AS REPRESENTED BY SINGULARITY FUNCTION
    CHAREF, A
    SUN, HH
    TSAO, YY
    ONARAL, B
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (09) : 1465 - 1470
  • [6] Yet another chaotic attractor
    Chen, GR
    Ueta, T
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07): : 1465 - 1466
  • [7] Chaotic dynamics of the fractional Lorenz system
    Grigorenko, I
    Grigorenko, E
    [J]. PHYSICAL REVIEW LETTERS, 2003, 91 (03)
  • [8] CHAOS IN A FRACTIONAL ORDER CHUAS SYSTEM
    HARTLEY, TT
    LORENZO, CF
    QAMMER, HK
    [J]. 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