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单双极晶体管丙类放大器中奇异吸引子的证据:多项式和分段线性情况

Evidence of Strange Attractors in Class C Amplifier with Single Bipolar Transistor: Polynomial and Piecewise-Linear Case.

作者信息

Petrzela Jiri

机构信息

Department of Radio Electronics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 12, 616 00 Brno, Czech Republic.

出版信息

Entropy (Basel). 2021 Jan 30;23(2):175. doi: 10.3390/e23020175.

DOI:10.3390/e23020175
PMID:33573302
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7911992/
Abstract

This paper presents and briefly discusses recent observations of dynamics associated with isolated generalized bipolar transistor cells. A mathematical model of this simple system is considered on the highest level of abstraction such that it comprises many different network topologies. The key property of the analyzed structure is its bias point since the transistor is modeled via two-port admittance parameters. A necessary but not sufficient condition for the evolution of autonomous complex behavior is the nonlinear bilateral nature of the transistor with arbitrary reason that causes this effect. It is proved both by numerical analysis and experimental measurement that chaotic motion is miscellaneous, robust, and it is neither numerical artifact nor long transient motion.

摘要

本文介绍并简要讨论了与隔离式广义双极晶体管单元相关的动力学最新观测结果。在最高抽象层次上考虑了这个简单系统的数学模型,使得它包含许多不同的网络拓扑结构。由于晶体管是通过二端口导纳参数建模的,所以所分析结构的关键特性是其偏置点。晶体管具有非线性双边特性(由任意原因导致这种效应)是自主复杂行为演化的必要但不充分条件。通过数值分析和实验测量都证明了混沌运动是多样的、稳健的,它既不是数值假象也不是长时间的暂态运动。

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本文引用的文献

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Fractional-Order Chaotic Memory with Wideband Constant Phase Elements.具有宽带恒定相位元件的分数阶混沌存储器。
Entropy (Basel). 2020 Apr 9;22(4):422. doi: 10.3390/e22040422.
2
Approximate Entropy and Sample Entropy: A Comprehensive Tutorial.近似熵与样本熵:全面教程
Entropy (Basel). 2019 May 28;21(6):541. doi: 10.3390/e21060541.
3
Strange Attractors Generated by Multiple-Valued Static Memory Cell with Polynomial Approximation of Resonant Tunneling Diodes.由具有共振隧穿二极管多项式逼近的多值静态存储单元生成的奇怪吸引子。
Entropy (Basel). 2021 Aug 27;23(9):1110. doi: 10.3390/e23091110.
Entropy (Basel). 2018 Sep 12;20(9):697. doi: 10.3390/e20090697.
4
A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box Design.一种具有多个吸引子的新型混沌系统:动态分析、电路实现与S盒设计
Entropy (Basel). 2017 Dec 27;20(1):12. doi: 10.3390/e20010012.
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Atypical transistor-based chaotic oscillators: Design, realization, and diversity.基于非典型晶体管的混沌振荡器:设计、实现与多样性。
Chaos. 2017 Jul;27(7):073113. doi: 10.1063/1.4994815.
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