A new 4D hyperchaotic system and its control

被引：11
|
作者：
Cui, Ning [1 ]
Li, Junhong [1 ]
机构：
[1] Hanshan Normal Univ, Sch Math & Stat, Chaozhou 521041, Guangdong, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 01期
关键词：
hyperchaos; Lyapunov exponents; bifurcation; hyperchaos control; PROJECTIVE SYNCHRONIZATION; CHAOS CONTROL; QI SYSTEM; ATTRACTORS;
D O I：
10.3934/math.2023044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a new four-dimensional (4D) hyperchaotic system by introducing a linear controller to 3D chaotic Qi system. Based on theoretical analysis and numerical simulations, the dynamical behaviors of the new system are studied including dissipativity and invariance, equilibria and their stability, quasi-periodic orbits, chaotic and hyperchaotic attractors. In addition, the Hopf bifurcation at the zero equilibrium point and hyperchaos control of the system are investigated. The numerical simulations, including phase diagram, Lyapunov exponent spectrum, bifurcations and Poincare ' maps are carried out in order to analyze and verify the complex phenomena of the 4D hyperchaotic system.
引用
收藏
页码：905 / 923
页数：19
相关论文
共 50 条
  • [21] A new hyperchaotic system and its adaptive tracking control
    Li Chun-Lai
    Yu Si-Min
    ACTA PHYSICA SINICA, 2012, 61 (04)
  • [22] The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system
    Chen, Yuming
    NONLINEAR DYNAMICS, 2017, 87 (03) : 1445 - 1452
  • [23] The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system
    Yuming Chen
    Nonlinear Dynamics, 2017, 87 : 1445 - 1452
  • [24] A New 6D Hyperchaotic System with Four Positive Lyapunov Exponents Coined
    Yang, Qigui
    Osman, Waleed Mahgoub
    Chen, Chuntao
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (04):
  • [25] A New 7D Hyperchaotic System with Five Positive Lyapunov Exponents Coined
    Yang, Qigui
    Zhu, Daoyu
    Yang, Lingbing
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (05):
  • [26] A new hyperchaotic system and its circuit implementation
    Niu Yujun
    Wang Xingyuan
    Wang Mingjun
    Zhang Huaguang
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (11) : 3518 - 3524
  • [27] Hyperchaos, adaptive control and synchronization of a novel 4-D hyperchaotic system with two quadratic nonlinearities
    Vaidyanathan, Sundarapandian
    ARCHIVES OF CONTROL SCIENCES, 2016, 26 (04): : 471 - 495
  • [28] Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form
    Dadras, Sara
    Momeni, Hamid Reza
    Qi, Guoyuan
    Wang, Zhong-lin
    NONLINEAR DYNAMICS, 2012, 67 (02) : 1161 - 1173
  • [29] Dynamical study of a novel 4D hyperchaotic system: An integer and fractional order analysis
    Iskakova, Kulpash
    Alam, Mohammad Mahtab
    Ahmad, Shabir
    Saifullah, Sayed
    Akguel, Ali
    Yilmaz, Guelnur
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 208 : 219 - 245
  • [30] A comprehensive study of the novel 4D hyperchaotic system with self-exited multistability and application in the voice encryption
    Benkouider, Khaled
    Sambas, Aceng
    Bonny, Talal
    Al Nassan, Wafaa
    Moghrabi, Issam A. R.
    Sulaiman, Ibrahim Mohammed
    Hassan, Basim A.
    Mamat, Mustafa
    SCIENTIFIC REPORTS, 2024, 14 (01):
12345