A novel fractional-order hyperchaotic complex system and its synchronization

被引：0
|
作者：
金孟鑫 [1 ]
孙克辉 [1 ]
贺少波 [1 ]
机构：
[1] School of Physics and Electronics, Central South University
来源：
Chinese Physics B | 2023年 / 32卷 / 06期
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
O415.5 [混沌理论]; N941.4 [大系统理论];
学科分类号：
070201 ; 071101 ;
摘要：
A novel fractional-order hyperchaotic complex system is proposed by introducing the Caputo fractional-order derivative operator and a constant term to the complex simplified Lorenz system. The proposed system has different numbers of equilibria for different ranges of parameters. The dynamics of the proposed system is investigated by means of phase portraits, Lyapunov exponents, bifurcation diagrams, and basins of attraction. The results show abundant dynamical characteristics. Particularly, the phenomena of extreme multistability as well as hidden attractors are discovered. In addition, the complex generalized projective synchronization is implemented between two fractional-order hyperchaotic complex systems with different fractional orders. Based on the fractional Lyapunov stability theorem, the synchronization controllers are designed, and the theoretical results are verified and demonstrated by numerical simulations. It lays the foundation for practical applications of the proposed system.
引用
收藏
页码：187 / 196
页数：10
相关论文
共 50 条
  • [11] Adaptive Synchronization of a Novel Fractional-order Hyperchaotic System with Uncertain Parameters
    Yang, Ningning
    Wu, Chaojun
    Liu, Chongxin
    Liu, Kai
    [J]. PROCEEDINGS OF THE 2015 7TH IEEE INTERNATIONAL CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS (CIS) AND ROBOTICS, AUTOMATION AND MECHATRONICS (RAM), 2015,
  • [12] A new fractional-order hyperchaotic system and its modified projective synchronization
    Gao, Yuan
    Liang, Chenghua
    Wu, Qiqi
    Yuan, Haiying
    [J]. CHAOS SOLITONS & FRACTALS, 2015, 76 : 190 - 204
  • [13] Designing synchronization schemes for a fractional-order hyperchaotic system
    Zhang Ruo-Xun
    Yang Shi-Ping
    [J]. ACTA PHYSICA SINICA, 2008, 57 (11) : 6837 - 6843
  • [14] A NOVEL FRACTIONAL-ORDER HYPERCHAOTIC SYSTEM AND ITS CIRCUIT REALIZATION
    Liu, Chongxin
    Lu, Junjie
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2010, 24 (10): : 1299 - 1307
  • [15] Synchronization Between a Novel Integer-Order Hyperchaotic System and a Fractional-Order Hyperchaotic System Using Tracking Control
    Khan, Ayub
    Singh, Shikha
    Azar, Ahmad Taher
    Zhu, Quanmin
    [J]. PROCEEDINGS OF 2018 10TH INTERNATIONAL CONFERENCE ON MODELLING, IDENTIFICATION AND CONTROL (ICMIC), 2018,
  • [16] A fractional-order multi-scroll hyperchaotic Chua system and its synchronization
    Xi, Huiling
    [J]. PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 1436 - 1441
  • [17] Tracking Control of a Hyperchaotic Complex System and Its Fractional-Order Generalization
    Liang, Feng
    Lu, Lu
    Li, Zhengfeng
    Zhang, Fangfang
    Zhang, Shuaihu
    [J]. PROCESSES, 2022, 10 (07)
  • [18] Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers
    Li, Tianzeng
    Wang, Yu
    Yang, Yong
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [19] Synchronization of a Fractional-order Complex System
    Dang, Honggang
    Yang, Xiaoya
    Liu, XiaoJun
    [J]. Proceedings of the 2016 6th International Conference on Applied Science, Engineering and Technology (ICASET), 2016, 77 : 154 - 157
  • [20] Generalized projective synchronization of the fractional-order Chen hyperchaotic system
    Wu, Xiangjun
    Lu, Yang
    [J]. NONLINEAR DYNAMICS, 2009, 57 (1-2) : 25 - 35
12345