GENERALIZED SYNCHRONIZATION OF FRACTIONAL ORDER CHAOTIC SYSTEMS

被引：8
|
作者：
Wang Ming-Jun [1 ]
Wang Xing-Yuan [2 ]
机构：
[1] Dalian Univ, Sch Informat Engn, Dalian 116622, Peoples R China
[2] Dalian Univ Technol, Sch Elect & Informat Engn, Dalian 116024, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2011年 / 25卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Fractional order; chaotic system; generalized synchronization; LAG SYNCHRONIZATION; CHEN SYSTEM; HYPERCHAOS; STATE; PHASE;
D O I：
10.1142/S0217979211058638
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In the paper, generalized chaotic synchronization of a class of fractional order systems is studied. Based on the stability theory of linear fractional order systems, a generalized synchronization scheme is presented, and theoretical analysis is provided to verify its feasibility. The proposed method can realize generalized synchronization not only of fractional order systems with same dimension, but also of systems with different dimensions. Besides, the function relation of generalized synchronization can be linear or nonlinear, Numerical simulations show the effectiveness of the scheme.
引用
收藏
页码：1283 / 1292
页数：10
相关论文
共 50 条
  • [31] Mittag–Leffler stability, control, and synchronization for chaotic generalized fractional-order systems
    Tarek M. Abed-Elhameed
    Tarek Aboelenen
    Advances in Continuous and Discrete Models, 2022
  • [32] Generalized Projective Lag Synchronization in Fractional-order Chaotic Systems with Unknown Parameters
    Ma, Yancheng
    Wu, Guaon
    Jiang, Lan
    2017 IEEE 2ND ADVANCED INFORMATION TECHNOLOGY, ELECTRONIC AND AUTOMATION CONTROL CONFERENCE (IAEAC), 2017, : 64 - 67
  • [33] Generalized Dynamic Switched Synchronization between Combinations of Fractional-Order Chaotic Systems
    Sayed, Wafaa S.
    Henein, Moheb M. R.
    Abd-El-Hafiz, Salwa K.
    Radwan, Ahmed G.
    COMPLEXITY, 2017,
  • [34] Fractional dynamical controllers for generalized multi-synchronization of commensurate fractional order Liouvillian chaotic systems
    Cruz-Ancona, Christopher D.
    Martinez-Guerra, Rafael
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (07): : 3054 - 3096
  • [35] Synchronization between Different Fractional order Chaotic Systems
    Ping Zhou
    Xuefeng Cheng
    2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 4659 - 4662
  • [36] Synchronization for fractional order chaotic systems with uncertain parameters
    Qiao Wang
    Dong-Lian Qi
    International Journal of Control, Automation and Systems, 2016, 14 : 211 - 216
  • [37] Synchronization between fractional order complex chaotic systems
    Singh A.K.
    Yadav V.K.
    Das S.
    International Journal of Dynamics and Control, 2017, 5 (03) : 756 - 770
  • [38] Synchronization for Fractional Order Chaotic Systems with Uncertain Parameters
    Wang, Qiao
    Qi, Dong-Lian
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2016, 14 (01) : 211 - 216
  • [39] Robust Synchronization of Uncertain Fractional Order Chaotic Systems
    Luo, Junhai
    Liu, Heng
    Yang, Jiangfeng
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2015, E98A (10): : 2109 - 2116
  • [40] Synchronization of fractional chaotic systems based on fractional-order interval systems
    Sun Ning
    ACTA PHYSICA SINICA, 2011, 60 (12)
12345