A fractional-order form of a system with stable equilibria and its synchronization

被引：13
|
作者：
Wang, Xiong [1 ]
Ouannas, Adel [2 ]
Viet-Thanh Pham [3 ]
Abdolmohammadi, Hamid Reza [4 ]
机构：
[1] Shenzhen Univ, Inst Adv Study, Shenzhen 518060, Guangdong, Peoples R China
[2] Univ Larbi Tebessi, Dept Math & Comp Sci, Tebessa 12002, Algeria
[3] Ton Duc Thang Univ, Modeling Evolutionary Algorithms Simulat & Artifi, Fac Elect & Elect Engn, Ho Chi Minh City, Vietnam
[4] Golpayegan Univ Technol, Dept Elect Engn, Golpayegan, Iran
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
基金：
中国国家自然科学基金;
关键词：
chaos; equilibrium; hidden attractor; fractional order; synchronization; CHAOTIC AUTONOMOUS SYSTEM; SPROTT C SYSTEM; CIRCUIT-DESIGN; PROJECTIVE SYNCHRONIZATION; LYAPUNOV FUNCTIONS; DYNAMICAL ANALYSIS; HIDDEN ATTRACTORS; MULTISTABILITY; IMPLEMENTATION; STABILITY;
D O I：
10.1186/s13662-018-1479-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
There has been an increasing interest in studying fractional-order chaotic systems and their synchronization. In this paper, the fractional-order form of a system with stable equilibrium is introduced. It is interesting that such a three-dimensional fractional system can exhibit chaotic attractors. Full-state hybrid projective synchronization scheme and inverse full-state hybrid projective synchronization scheme have been designed to synchronize the three-dimensional fractional system with different four-dimensional fractional systems. Numerical examples have verified the proposed synchronization schemes.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] A fractional-order form of a system with stable equilibria and its synchronization
    Xiong Wang
    Adel Ouannas
    Viet-Thanh Pham
    Hamid Reza Abdolmohammadi
    Advances in Difference Equations, 2018
  • [2] A fractional-order hyperchaotic system and its synchronization
    Deng, Hongmin
    Li, Tao
    Wang, Qionghua
    Li, Hongbin
    CHAOS SOLITONS & FRACTALS, 2009, 41 (02) : 962 - 969
  • [3] A novel fractional-order hyperchaotic system and its synchronization
    周平
    危丽佳
    程雪峰
    Chinese Physics B, 2009, 18 (07) : 2674 - 2679
  • [4] A novel fractional-order hyperchaotic system and its synchronization
    Zhou Ping
    Wei Li-Jia
    Cheng Xue-Feng
    CHINESE PHYSICS B, 2009, 18 (07) : 2674 - 2679
  • [5] A NOVEL FRACTIONAL-ORDER HYPERCHAOTIC SYSTEM AND ITS SYNCHRONIZATION
    Zhou, Ping
    Zhu, Wei
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2009, 3 (01): : 53 - 61
  • [6] Chaotic Dynamics of Fractional-order Volta System and Its Synchronization
    Fu, Xiuli
    Yu, Youming
    INTERNATIONAL CONFERENCE ON CONTROL SYSTEM AND AUTOMATION (CSA 2013), 2013, : 58 - 61
  • [7] The Synchronization of a fractional-order chaotic system
    Zhang Fan-di
    ENGINEERING SOLUTIONS FOR MANUFACTURING PROCESSES, PTS 1-3, 2013, 655-657 : 1488 - 1491
  • [8] A New Fractional-order Chaotic System and its Synchronization Control
    Shan, Liang
    Liu, Zhong
    Li, Jun
    Wang, Zhiquan
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 5918 - 5922
  • [9] A novel fractional-order hyperchaotic complex system and its synchronization
    金孟鑫
    孙克辉
    贺少波
    ChinesePhysicsB, 2023, 32 (06) : 187 - 196
  • [10] Chaotic dynamics of the fractional-order Lu system and its synchronization
    Lu, Jun Guo
    PHYSICS LETTERS A, 2006, 354 (04) : 305 - 311
12345