A highly chaotic fractional-order system with a four-wing attractor and its synchronization

被引:0
|
作者
Mohammad Ebrahim Aghili
Khosro Khandani
Majid Parvizian
机构
[1] Arak University,Department of Electrical Engineering, Faculty of Engineering
[2] Tarbiat Modares University,School of Electrical and Computer Engineering
来源
International Journal of Dynamics and Control | 2022年 / 10卷
关键词
Four-wing attractor; Fractional-order chaotic system; High chaoticness; Sliding mode control; Synchronization;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, a new four-wing attractor is reported in a fractional-order chaotic system. The chaoticness of the proposed system is investigated by obtaining Lyapunov exponents and compared with that of well-known chaotic systems in the literature. The findings reveal extremely high chaoticness of the introduced system which makes it a proper choice for encryption systems and secure communication. Furthermore, synchronization of the proposed system is studied in this paper. Sliding mode control has been used for this purpose and it is proven and illustrated that the synchronization error is asymptotically stable by employing the Lyapunov stability theorem.
引用
收藏
页码:1199 / 1207
页数:8
相关论文
共 50 条
  • [41] Hopf Bifurcation in a Novel 3D-Chaotic System with a Four-Wing Attractor
    Mohammed, Bashdar M.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2025, 35 (04):
  • [42] GENERATION OF AN EIGHT-WING CHAOTIC ATTRACTOR FROM QI 3-D FOUR-WING CHAOTIC SYSTEM
    Qi, Guoyuan
    Wang, Zhonglin
    Guo, Yanling
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (12):
  • [43] Secure Communication Using Four-Wing Hyper-Chaotic Attractor
    Dwivedi, Arti
    Mittal, Ashok Kumar
    Dwivedi, Suneet
    SECURITY IN COMPUTING AND COMMUNICATIONS, 2014, 467 : 281 - 290
  • [44] Topological horseshoe analysis and the circuit implementation for a four-wing chaotic attractor
    Hong-Yan Jia
    Zeng-Qiang Chen
    Guo-Yuan Qi
    Nonlinear Dynamics, 2011, 65 : 131 - 140
  • [45] Topological horseshoe analysis and the circuit implementation for a four-wing chaotic attractor
    Jia, Hong-Yan
    Chen, Zeng-Qiang
    Qi, Guo-Yuan
    NONLINEAR DYNAMICS, 2011, 65 (1-2) : 131 - 140
  • [46] A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation
    Liu, Tianming
    Yan, Huizhen
    Banerjee, Santo
    Mou, Jun
    CHAOS SOLITONS & FRACTALS, 2021, 145
  • [47] Star-Like Network Synchronization of a New Four-Wing Chaotic System
    Chunhua Wang
    Lili Zhou
    Fei Yu
    Yuan Lin
    Arabian Journal for Science and Engineering, 2014, 39 : 8417 - 8430
  • [48] Control and Synchronization of the Fractional-Order Lorenz Chaotic System via Fractional-Order Derivative
    Zhou, Ping
    Ding, Rui
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [49] Adaptive control and synchronization of a fractional-order chaotic system
    Li, Chunlai
    Tong, Yaonan
    PRAMANA-JOURNAL OF PHYSICS, 2013, 80 (04): : 583 - 592
  • [50] Adaptive control and synchronization of a fractional-order chaotic system
    CHUNLAI LI
    YAONAN TONG
    Pramana, 2013, 80 : 583 - 592