Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)

被引：13
作者：
Zhou Ping [1 ,2 ]
Cheng Yuan-Ming [2 ]
Kuang Fei [2 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Key Lab Network Control & Intelligent Instrument, Minist Educ, Chongqing 400065, Peoples R China
[2] Chongqing Univ Posts & Telecommun, Inst Appl Phys, Chongqing 400065, Peoples R China
来源：
CHINESE PHYSICS B | 2010年 / 19卷 / 09期
关键词：
fractional-order chaotic systems; chaotic systems of integer orders; different fractional-order chaotic systems; synchronization; GENERALIZED PROJECTIVE SYNCHRONIZATION; HYPERCHAOS;
D O I：
10.1088/1674-1056/19/9/090503
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems. The proposed synchronization approach in this paper shows that the synchronization between fractional-order chaotic systems and chaotic systems of integer orders can be achieved, and the synchronization between different fractional-order chaotic systems can also be realized. Numerical experiments show that the present method works very well.
引用
收藏
页数：6
相关论文
共 33 条
  • [1] Chaos in fractional-order autonomous nonlinear systems
    Ahmad, WM
    Sprott, JC
    [J]. CHAOS SOLITONS & FRACTALS, 2003, 16 (02) : 339 - 351
  • [2] Yet another chaotic attractor
    Chen, GR
    Ueta, T
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07): : 1465 - 1466
  • [3] Chaos in a fractional order modified Duffing system
    Ge, Zheng-Ming
    Ou, Chan-Yi
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 34 (02) : 262 - 291
  • [4] Chaotic dynamics of the fractional Lorenz system
    Grigorenko, I
    Grigorenko, E
    [J]. PHYSICAL REVIEW LETTERS, 2003, 91 (03)
  • [5] GENERAL-APPROACH FOR CHAOTIC SYNCHRONIZATION WITH APPLICATIONS TO COMMUNICATION
    KOCAREV, L
    PARLITZ, U
    [J]. PHYSICAL REVIEW LETTERS, 1995, 74 (25) : 5028 - 5031
  • [6] Synchronization of fractional order chaotic systems
    Li, CG
    Liao, XF
    Yu, JB
    [J]. PHYSICAL REVIEW E, 2003, 68 (06):
  • [7] Chaos in the fractional order Chen system and its control
    Li, CG
    Chen, GR
    [J]. CHAOS SOLITONS & FRACTALS, 2004, 22 (03) : 549 - 554
  • [8] Chaos and hyperchaos in the fractional-order Rossler equations
    Li, CG
    Chen, GR
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 341 : 55 - 61
  • [9] The synchronization of three fractional differential systems
    Li, Changpin
    Yan, Jianping
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 32 (02) : 751 - 757
  • [10] Chaos synchronization of the Chua system with a fractional order
    Li, CP
    Deng, WH
    Xu, D
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 360 (02) : 171 - 185
1234