On the Canonical Circuit Realizations of Fourth-Order and Fifth-Order Hyperjerk Chaotic Function

被引:1
|
作者
Petrzela, Jiri [1 ]
机构
[1] Brno Univ Technol, Dept Radio Elect, Brno, Czech Republic
关键词
analog multiplier; basin of attraction; lumped chaotic oscillator; hyper-jerk function; Lyapunov exponent; polynomial vector field; strange attractor; DIODE-INDUCTOR; IMPLEMENTATION;
D O I
10.1109/radioelek.2019.8733499
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This brief paper describes design process toward the simplest lumped circuit implementation of the hyper-jerk function. This is single nonlinear ordinary differential equation able to produce a variety of the robust dense chaotic attractors. Designed oscillators can be considered as canonical in the sense of minimum total number of the circuit elements required for construction. Circuit concept can be understood as the looped system of composed by the active nonlinear two-port and fully passive ladder frequency filter. Fingerprints of robust chaos are provided via numerical analysis, computer-aided simulation and experimental measurement.
引用
收藏
页码:39 / 44
页数:6
相关论文
共 50 条
  • [21] FIFTH-ORDER HOLOGRAM ABERRATIONS
    LATTA, JN
    APPLIED OPTICS, 1971, 10 (03): : 666 - &
  • [22] Design of a fifth-order achromat
    Wan, WS
    Berz, M
    NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1999, 423 (01): : 1 - 6
  • [23] On the oscillation of fourth-order canonical differential equation with several delays
    Alomair, Mohammed Ahmed
    Muhib, Ali
    AIMS MATHEMATICS, 2024, 9 (08): : 19997 - 20013
  • [24] ON A FIFTH-ORDER DIFFERENCE EQUATION
    Stevic, Stevo
    Diblik, Josef
    Iricanin, Bratislav
    Smarda, Zdenek
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (07) : 1214 - 1227
  • [25] The Construction of the Riemann Function for a Fourth-Order Equation
    A. N. Mironov
    Differential Equations, 2001, 37 : 1787 - 1791
  • [26] The construction of the Riemann function for a fourth-order equation
    Mironov, AN
    DIFFERENTIAL EQUATIONS, 2001, 37 (12) : 1787 - 1791
  • [27] Exponential Function Generator with Fourth-Order Approximation
    Popa, Cosmin Radu
    2022 6TH EUROPEAN CONFERENCE ON ELECTRICAL ENGINEERING & COMPUTER SCIENCE, ELECS, 2022, : 66 - 70
  • [28] A New Fourth-Order Memristive Chaotic System and Its Generation
    Li, Yuxia
    Huang, Xia
    Song, Yiwen
    Lin, Jinuan
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (11):
  • [29] FOURTH-ORDER COEFFICIENTS
    GHATE, PB
    JOURNAL OF APPLIED PHYSICS, 1964, 35 (02) : 337 - &
  • [30] THIRD-ORDER AND FIFTH-ORDER ANALYSIS OF TRIPLET
    HOPKINS, RE
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1962, 52 (04) : 389 - &