A new kind of nonlinear phenomenon in coupled fractional-order chaotic systems: coexistence of anti-phase and complete synchronization

被引：4
|
作者：
Zhang Jun-Feng [1 ]
Pei Qiu-Yu [1 ]
Zhang Xiao-Li [1 ,2 ]
机构：
[1] Henan Univ Urban Construct, Dept Comp Sci & Engn, Pingdingshan 467036, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Aeronaut Sci Key Lab Smart Mat & Struct, Nanjing 210016, Peoples R China
来源：
CHINESE PHYSICS B | 2011年 / 20卷 / 08期
基金：
中国国家自然科学基金;
关键词：
fractional-order unified chaotic system; hybrid synchronization; linear controller; single drive variable; ADAPTIVE SYNCHRONIZATION; PHASE SYNCHRONIZATION; CHEN SYSTEM;
D O I：
10.1088/1674-1056/20/8/080503
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we have found a kind of interesting nonlinear phenomenon-hybrid synchronization in linearly coupled fractional-order chaotic systems. This new synchronization mechanism, i.e., part of state variables are anti-phase synchronized and part completely synchronized, can be achieved using a single linear controller with only one drive variable. Based on the stability theory of the fractional-order system, we investigated the possible existence of this new synchronization mechanism. Moreover, a helpful theorem, serving as a determinant for the gain of the controller, is also presented. Solutions of coupled systems are obtained numerically by an improved Adams-Bashforth-Moulton algorithm. To support our theoretical analysis, simulation results are given.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] Synchronization in Dynamically Coupled Fractional-Order Chaotic Systems: Studying the Effects of Fractional Derivatives
    Echenausía-Monroy, J.L.
    Rodríguez-Martíne, C.A.
    Ontañón-García, L.J.
    Alvarez, J.
    Pena Ramirez, J.
    Complexity, 2021, 2021
  • [22] Synchronization of Chaotic Fractional-order Systems via Fractional-Order Adaptive Controller
    Fayazi, Ali
    EMERGING SYSTEMS FOR MATERIALS, MECHANICS AND MANUFACTURING, 2012, 109 : 333 - 339
  • [23] Chaotic synchronization between different fractional-order chaotic systems
    Zhou, Ping
    Ding, Rui
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (10): : 2839 - 2848
  • [24] Synchronization of N-coupled fractional-order chaotic systems with ring connection
    Tang, Yang
    Fang, Jian-an
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (02) : 401 - 412
  • [25] Dynamics and synchronization analysis of coupled fractional-order nonlinear electromechanical systems
    Ngueuteu, G. S. Mbouna
    Woafo, P.
    MECHANICS RESEARCH COMMUNICATIONS, 2012, 46 : 20 - 25
  • [26] Synchronization of fractional chaotic systems based on fractional-order interval systems
    Sun Ning
    ACTA PHYSICA SINICA, 2011, 60 (12)
  • [27] New approach to synchronization of two different fractional-order chaotic systems
    Behinfaraz, Reza
    Badamchizadeh, Mohammad Ali
    2015 INTERNATIONAL SYMPOSIUM ON ARTIFICIAL INTELLIGENCE AND SIGNAL PROCESSING (AISP), 2015, : 149 - 153
  • [28] SYNCHRONIZATION OF FRACTIONAL-ORDER CHAOTIC SYSTEMS WITH MULTIPLE DELAYS BY A NEW APPROACH
    Hu, Jianbing
    Wei, Hua
    Zhao, Lingdong
    KYBERNETIKA, 2015, 51 (06) : 1068 - 1083
  • [29] Design of an new adaptive controller for synchronization of fractional-order chaotic systems
    Shao, Keyong
    Guo, Haoxuan
    Han, Feng
    Yuan, Mengyu
    2018 EIGHTH INTERNATIONAL CONFERENCE ON INSTRUMENTATION AND MEASUREMENT, COMPUTER, COMMUNICATION AND CONTROL (IMCCC 2018), 2018, : 1438 - 1441
  • [30] Chaotic Synchronization of Nonlinear-Coupled Fractional-order Liu System and Secure Communication
    Xu, Birong
    PROCEEDINGS OF THE 2015 INTERNATIONAL SYMPOSIUM ON COMPUTERS & INFORMATICS, 2015, 13 : 468 - 476
12345