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具有宽带恒定相位元件的分数阶混沌存储器。

Fractional-Order Chaotic Memory with Wideband Constant Phase Elements.

作者信息

Petrzela Jiri

机构信息

Department of Radio Electronics, Faculty of Electronical Engineering and Communications, Brno University of Technology, 616 00 Brno, Czech Republic.

出版信息

Entropy (Basel). 2020 Apr 9;22(4):422. doi: 10.3390/e22040422.

DOI:10.3390/e22040422
PMID:33286196
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7516901/
Abstract

This paper provides readers with three partial results that are mutually connected. Firstly, the gallery of the so-called constant phase elements (CPE) dedicated for the wideband applications is presented. CPEs are calculated for 9° (decimal orders) and 10° phase steps including ¼, ½, and ¾ orders, which are the most used mathematical orders between zero and one in practice. For each phase shift, all necessary numerical values to design fully passive RC ladder two-terminal circuits are provided. Individual CPEs are easily distinguishable because of a very high accuracy; maximal phase error is less than 1.5° in wide frequency range beginning with 3 Hz and ending with 1 MHz. Secondly, dynamics of ternary memory composed by a series connection of two resonant tunneling diodes is investigated and, consequently, a robust chaotic behavior is discovered and reported. Finally, CPEs are directly used for realization of fractional-order (FO) ternary memory as lumped chaotic oscillator. Existence of structurally stable strange attractors for different orders is proved, both by numerical analyzed and experimental measurement.

摘要

本文为读者提供了三个相互关联的部分结果。首先，给出了适用于宽带应用的所谓恒定相位元件（CPE）图库。针对9°（十进制阶数）和10°的相位步长计算了CPE，包括1/4、1/2和3/4阶数，这些是实际中在零到一之间最常用的数学阶数。对于每个相移，提供了设计全无源RC梯形二端电路所需的所有数值。由于精度非常高，各个CPE很容易区分；在从3 Hz开始到1 MHz结束的宽频率范围内，最大相位误差小于1.5°。其次，研究了由两个共振隧穿二极管串联组成的三元存储器的动力学，结果发现并报道了一种鲁棒的混沌行为。最后，CPE被直接用于实现作为集总混沌振荡器的分数阶（FO）三元存储器。通过数值分析和实验测量，证明了不同阶数下结构稳定的奇怪吸引子的存在。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9924/7516901/67c9c46f511d/entropy-22-00422-g019.jpg
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