Chaos and synchronization of the fractional-order Chua's system

被引：77
|
作者：
Zhu, Hao [1 ]
Zhou, Shangbo [1 ]
Zhang, Jun [1 ]
机构：
[1] Chongqing Univ, Dept Comp, Chongqing 400044, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 04期
关键词：
D O I：
10.1016/j.chaos.2007.06.082
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Chaotic synchronization of fractional-order Chua's system is further studied. An algorithm for numerical solution of fractional-order differential equations is presented; the chaos in a fractional-order Chua system with some parameters is discussed. The scheme of synchronization system consist of fractional-order Chua's system is constructed. The synchronization conditions are investigated theoretically. And the synchronization thresholds are discussed by utilizing bifurcation graphs. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1595 / 1603
页数：9
相关论文
共 50 条
  • [1] Chaos and Synchronization in Complex Fractional-Order Chua's System
    Lin, Xiaoran
    Zhou, Shangbo
    Li, Hua
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (03):
  • [2] Chaos synchronization of the Chua system with a fractional order
    Li, CP
    Deng, WH
    Xu, D
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 360 (02) : 171 - 185
  • [3] Fractional-order Chua’s system: discretization, bifurcation and chaos
    Ravi P Agarwal
    Ahmed M A El-Sayed
    Sanaa M Salman
    Advances in Difference Equations, 2013
  • [4] Fractional-order Chua's system: discretization, bifurcation and chaos
    Agarwal, Ravi P.
    El-Sayed, Ahmed M. A.
    Salman, Sanaa M.
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [5] Phase synchronization of fractional-order Chua's chaotic system
    Luo, Junhai
    Liu, Heng
    ICIC Express Letters, 2014, 8 (06): : 1599 - 1605
  • [6] Generation of Fractional-Order Chua's Chaotic System and It's Synchronization
    Yang, Chunzhi
    Xiang, Wei
    Ji, Quanbao
    PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, : 599 - 603
  • [7] Chaos synchronization of the fractional-order Chen's system
    Zhu, Hao
    Zhou, Shangbo
    He, Zhongshi
    CHAOS SOLITONS & FRACTALS, 2009, 41 (05) : 2733 - 2740
  • [8] Chaos in Fractional Order Cubic Chua System and Synchronization
    Odibat, Zaid
    Corson, Nathalie
    Aziz-Alaoui, M. A.
    Alsaedi, Ahmed
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (10):
  • [9] Adaptive synchronization of fractional-order memristor-based Chua's system
    Wang, Baoxian
    Jia, Jigui
    Yu, Hui
    SYSTEMS SCIENCE & CONTROL ENGINEERING, 2014, 2 (01): : 291 - 296
  • [10] A note on the fractional-order Chua's system
    Petras, Ivo
    CHAOS SOLITONS & FRACTALS, 2008, 38 (01) : 140 - 147
12345