Chaos in Chen's system with a fractional order

被引:522
作者
Li, CP [1 ]
Peng, GJ [1 ]
机构
[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
关键词
D O I
10.1016/j.chaos.2004.02.013
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, by utilizing the fractional calculus techniques, we found that chaos does exist in Chen's system with a fractional order, and some phase diagrams are constructed. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:443 / 450
页数:8
相关论文
共 15 条
  • [1] LINEAR MODELS OF DISSIPATION WHOSE Q IS ALMOST FREQUENCY INDEPENDENT-2
    CAPUTO, M
    [J]. GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1967, 13 (05): : 529 - &
  • [2] 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
  • [3] Yet another chaotic attractor
    Chen, GR
    Ueta, T
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07): : 1465 - 1466
  • [4] Analysis of fractional differential equations
    Diethelm, K
    Ford, NJ
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (02) : 229 - 248
  • [5] A predictor-corrector approach for the numerical solution of fractional differential equations
    Diethelm, K
    Ford, NJ
    Freed, AD
    [J]. NONLINEAR DYNAMICS, 2002, 29 (1-4) : 3 - 22
  • [6] Diethelm K., 1997, ELECTRON T NUMER ANA, V5, P1
  • [7] Diethelm K., 1999, Forschung und wissenschaftliches Rechnen, V1998, P57
  • [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] Hilfer R., 2010, APPL FRACTIONAL CALC, P1, DOI DOI 10.1142/9789812817747_0001
  • [10] Podlubny I., 1999, FRACTIONAL DIFFERENT