Chaotic dynamics of the fractional-order Ikeda delay system and its synchronization

被引：0
作者：
Lu, JG [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200030, Peoples R China
来源：
CHINESE PHYSICS | 2006年 / 15卷 / 02期
关键词：
chaos; Ikeda delay system; fractional-order system; fractional calculus;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we numerically investigate the chaotic behaviours of the fractional-order Ikeda delay system. The results show that chaos exists in the fractional-order Ikeda delay system with order less than 1. The lowest order for chaos to be able to appear in this system is found to be 0.1. Master-slave synchronization of chaotic fractional-order Ikeda delay systems with linear coupling is also studied.
引用
收藏
页码：301 / 305
页数：5
相关论文
共 29 条
  • [1] Fractional-order Wien-bridge oscillator
    Ahmad, W
    El-khazali, R
    Elwakil, AS
    [J]. ELECTRONICS LETTERS, 2001, 37 (18) : 1110 - 1112
  • [2] On nonlinear control design for autonomous chaotic systems of integer and fractional orders
    Ahmad, WM
    Harb, AM
    [J]. CHAOS SOLITONS & FRACTALS, 2003, 18 (04) : 693 - 701
  • [3] Chaos in fractional-order autonomous nonlinear systems
    Ahmad, WM
    Sprott, JC
    [J]. CHAOS SOLITONS & FRACTALS, 2003, 16 (02) : 339 - 351
  • [4] Chaotic behavior in noninteger-order cellular neural networks
    Arena, P
    Fortuna, L
    Porto, D
    [J]. PHYSICAL REVIEW E, 2000, 61 (01): : 776 - 781
  • [5] 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
  • [6] ARENA P, 1997, P ECCTD BUD, P1259
  • [7] 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
  • [8] 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
  • [9] CHEN G, 1987, CHAOS CONTROL SYNCHR
  • [10] Chen G., 1998, CHAOS ORDER PERSPECT
123