四阶和五阶超跳混沌函数的正则电路实现

J. Petrzela
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摘要

本文简要介绍了实现超跳功能的最简单集总电路的设计过程。这是一个能产生各种鲁棒稠密混沌吸引子的单一非线性常微分方程。所设计的振荡器可以被认为是典型的,因为其结构所需的电路元件总数最少。电路概念可以理解为由有源非线性双端口和全无源阶梯频率滤波器组成的环形系统。通过数值分析、计算机辅助仿真和实验测量,给出了鲁棒混沌的指纹图谱。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the Canonical Circuit Realizations of Fourth-Order and Fifth-Order Hyperjerk Chaotic Function
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.
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