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 50 条
  • [31] The Synchronization of Three Fractional-Order Lorenz Chaotic Systems
    Yu, Yong-Guang
    Wen, Guo-Guang
    Li, Han-Xiong
    Diao, Miao
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (03) : 379 - 386
  • [32] A New Method on Synchronization of Fractional-Order Chaotic Systems
    Wang, Zhiliang
    Zhang, Huaguang
    Li, Yongfeng
    Sun, Ning
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 3557 - +
  • [33] A practical synchronization approach for fractional-order chaotic systems
    Ping Zhou
    Peng Zhu
    Nonlinear Dynamics, 2017, 89 : 1719 - 1726
  • [34] A practical synchronization approach for fractional-order chaotic systems
    Zhou, Ping
    Zhu, Peng
    NONLINEAR DYNAMICS, 2017, 89 (03) : 1719 - 1726
  • [35] Parameter identification and synchronization of fractional-order chaotic systems
    Yuan, Li-Guo
    Yang, Qi-Gui
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (01) : 305 - 316
  • [36] Prescribed performance synchronization for fractional-order chaotic systems
    刘恒
    李生刚
    孙业国
    王宏兴
    Chinese Physics B, 2015, 24 (09) : 157 - 164
  • [37] Synchronization of fractional-order chaotic systems based on the fractional-order sliding mode controller
    Yan Xiaomei
    Shang Ting
    Zhao Xiaoguo
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 429 - 434
  • [38] Generalized projective synchronization for fractional-order chaotic systems with different fractional order
    Zhou, Ping
    Ding, Rui
    ADVANCED MATERIALS AND COMPUTER SCIENCE, PTS 1-3, 2011, 474-476 : 2106 - +
  • [39] Synchronization of uncertain fractional-order chaotic systems via the fractional-order sliding mode controller
    Yan, Xiaomei
    Shang, Ting
    Zhao, Xiaoguo
    Ji, Ruirui
    PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 1444 - 1449
  • [40] Projective Synchronization for a Class of Fractional-Order Chaotic Systems with Fractional-Order in the (1, 2) Interval
    Zhou, Ping
    Bai, Rongji
    Zheng, Jiming
    ENTROPY, 2015, 17 (03): : 1123 - 1134
12345