Circuit implementation of a new hyperchaos in fractional-order system

被引:0
|
作者
刘崇新 [1 ]
刘凌 [2 ]
机构
[1] School of Electrical Engineering, Xi'an Jiaotong University
[2] State Key Laboratory of Electrical Insulation and Power Equipment
关键词
hyperchaotic system; fractional-order system; integer-order chaotic circuit; fractional- order circuit;
D O I
暂无
中图分类号
O415.5 [混沌理论];
学科分类号
070201 ;
摘要
This paper introduces a new four-dimensional (4D) hyperchaotic system, which has only two quadratic nonlinearity parameters but with a complex topological structure. Some complicated dynamical properties are then investigated in detail by using bifurcations, Poincar′e mapping, LE spectra. Furthermore, a simple fourth-order electronic circuit is designed for hardware implementation of the 4D hyperchaotic attractors. In particular, a remarkable fractional-order circuit diagram is designed for physically verifying the hyperchaotic attractors existing not only in the integer-order system but also in the fractional-order system with an order as low as 3.6.
引用
收藏
页码:2829 / 2836
页数:8
相关论文
共 50 条
  • [41] Circuit implementation and tracking control of the fractional-order hyper-chaotic Lu system
    Min Fu-Hong
    Yu Yang
    Ge Cao-Ju
    ACTA PHYSICA SINICA, 2009, 58 (03) : 1456 - 1461
  • [42] Design and implementation of a new fractional-order Hopfield neural network system
    Zhou, Ziwei
    Wang, Shuo
    PHYSICA SCRIPTA, 2022, 97 (02)
  • [43] A new 4-D non-equilibrium fractional-order chaotic system and its circuit implementation
    Zhou, Ping
    Huang, Kun
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (06) : 2005 - 2011
  • [44] Dynamics and circuit simulation of a fractional-order hyperchaotic system
    Lassoued, A.
    Nazarimehr, F.
    Boubaker, O.
    SCIENTIA IRANICA, 2023, 30 (02) : 507 - 517
  • [45] Circuit realization of the fractional-order unified chaotic system
    陈向荣
    刘崇新
    王发强
    Chinese Physics B, 2008, 17 (05) : 1664 - 1669
  • [46] Circuit realization of the fractional-order unified chaotic system
    Chen Xiang-Rong
    Liu Chong-Xin
    Wang Fa-Qiang
    CHINESE PHYSICS B, 2008, 17 (05) : 1664 - 1669
  • [47] Realization of fractional-order Liu chaotic system by circuit
    Lu Jun-Jie
    Liu Chong-Xin
    CHINESE PHYSICS, 2007, 16 (06): : 1586 - 1590
  • [48] Circuit Realization of a Fractional-Order Chaotic Jerk System
    Volos, Christos K.
    Stouboulos, Ioannis N.
    Kyprianidis, Ioannis K.
    Viet-Thanh Pham
    Munoz-Pacheco, J. M.
    Psychalinos, Costas
    2017 6TH INTERNATIONAL CONFERENCE ON MODERN CIRCUITS AND SYSTEMS TECHNOLOGIES (MOCAST), 2017,
  • [49] Circuit design and simulation for the fractional-order chaotic behavior in a new dynamical system
    Z. Hammouch
    T. Mekkaoui
    Complex & Intelligent Systems, 2018, 4 : 251 - 260
  • [50] Circuit design and simulation for the fractional-order chaotic behavior in a new dynamical system
    Hammouch, Z.
    Mekkaoui, T.
    COMPLEX & INTELLIGENT SYSTEMS, 2018, 4 (04) : 251 - 260