Modeling and Analysis of a Three-Terminal-Memristor-Based Conservative Chaotic System

被引:24
作者
Wang, Ze [1 ]
Qi, Guoyuan [1 ]
机构
[1] Tiangong Univ, Tianjin Key Lab Adv Technol Elect Engn & Energy, Tianjin 300387, Peoples R China
基金
中国国家自然科学基金;
关键词
three-terminal memristor; non-Hamiltonian conservative chaotic system; conservative chaos; analog circuit;
D O I
10.3390/e23010071
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, a three-terminal memristor is constructed and studied through changing dual-port output instead of one-port. A new conservative memristor-based chaotic system is built by embedding this three-terminal memristor into a newly proposed four-dimensional (4D) Euler equation. The generalized Hamiltonian energy function has been given, and it is composed of conservative and non-conservative parts of the Hamiltonian. The Hamiltonian of the Euler equation remains constant, while the three-terminal memristor's Hamiltonian is mutative, causing non-conservation in energy. Through proof, only centers or saddles equilibria exist, which meets the definition of the conservative system. A non-Hamiltonian conservative chaotic system is proposed. The Hamiltonian of the conservative part determines whether the system can produce chaos or not. The non-conservative part affects the dynamic of the system based on the conservative part. The chaotic and quasiperiodic orbits are generated when the system has different Hamiltonian levels. Lyapunov exponent (LE), Poincare map, bifurcation and Hamiltonian diagrams are used to analyze the dynamical behavior of the non-Hamiltonian conservative chaotic system. The frequency and initial values of the system have an extensive variable range. Through the mechanism adjustment, instead of trial-and-error, the maximum LE of the system can even reach an incredible value of 963. An analog circuit is implemented to verify the existence of the non-Hamiltonian conservative chaotic system, which overcomes the challenge that a little bias will lead to the disappearance of conservative chaos.
引用
收藏
页码:1 / 17
页数:17
相关论文
共 34 条
  • [1] [Anonymous], 1960, ADAPTIVE ADALINE NEU
  • [2] Transient chaos in smooth memristor oscillator
    Bao Bo-Cheng
    Liu Zhong
    Xu Jian-Ping
    [J]. CHINESE PHYSICS B, 2010, 19 (03)
  • [3] Hidden Bursting Firings and Bifurcation Mechanisms in Memristive Neuron Model With Threshold Electromagnetic Induction
    Bao, Han
    Hu, Aihuang
    Liu, Wenbo
    Bao, Bocheng
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2020, 31 (02) : 502 - 511
  • [4] All Pinched Hysteresis Loops Generated by (α, β) Elements: in What Coordinates They May be Observable
    Biolek, Zdenek
    Biolek, Dalibor
    Biolkova, Viera
    Kolka, Zdenek
    [J]. IEEE ACCESS, 2020, 8 : 199179 - 199186
  • [5] Higher-Order Hamiltonian for Circuits with (α,β) Elements
    Biolek, Zdenek
    Biolek, Dalibor
    Biolkova, Viera
    Kolka, Zdenek
    [J]. ENTROPY, 2020, 22 (04)
  • [6] 'Memristive' switches enable 'stateful' logic operations via material implication
    Borghetti, Julien
    Snider, Gregory S.
    Kuekes, Philip J.
    Yang, J. Joshua
    Stewart, Duncan R.
    Williams, R. Stanley
    [J]. NATURE, 2010, 464 (7290) : 873 - 876
  • [7] Memristors for the Curious Outsiders
    Caravelli, Francesco
    Carbajal, Juan Pablo
    [J]. TECHNOLOGIES, 2018, 6 (04):
  • [8] Resistance switching memories are memristors
    Chua, Leon
    [J]. APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING, 2011, 102 (04): : 765 - 783
  • [9] MEMRISTIVE DEVICES AND SYSTEMS
    CHUA, LO
    KANG, SM
    [J]. PROCEEDINGS OF THE IEEE, 1976, 64 (02) : 209 - 223
  • [10] MEMRISTOR - MISSING CIRCUIT ELEMENT
    CHUA, LO
    [J]. IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05): : 507 - +