The Simplest Memristor Oscillator is blessed with an Edge of Chaos Kernel

IF 1.6 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Journal of Electrical Engineering & Technology Pub Date : 2024-08-13 DOI:10.1007/s42835-024-02011-6

Maheshwar Sah, Vetriveeran Rajamani, Ram Kaji Budhathoki, Devaraj Somasundaram, Sultan Mahmood Chowdhury

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Abstract

This paper presents a novel concept that the simplest memristor oscillator designed with the series connection of positive temperature coefficient (PTC) and negative temperature coefficient (NTC) memristors possesses an inherent property referred to as the “edge of chaos kernel”, hidden inside the small-signal equivalent circuit serves as an optimal mechanism for inducing a periodic oscillation. Furthermore, it is also demonstrated that the edge of chaos kernel, originated from Chua’s riddle and characterized by negative resistance (R < 0) and negative inductance (L < 0), exhibits potential stability but becomes unstable upon the addition of dissipative resistance or inductor component. This paper outlines the discoveries concerning the properties and behavior of the edge of chaos kernel circuit in the elementary memristor oscillator as well as the potential application in voltage control sensing circuit, elucidating its significance in nonlinear dynamics.

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最简单的 Memristor 振荡器得益于混沌边缘内核

本文提出了一个新颖的概念，即用正温度系数（PTC）和负温度系数（NTC）忆阻器串联设计的最简单的忆阻器振荡器具有一种被称为 "混沌边缘核 "的固有特性，它隐藏在小信号等效电路中，是诱导周期性振荡的最佳机制。此外，本文还证明了源于蔡氏谜语、以负电阻（R < 0）和负电感（L < 0）为特征的混沌核边缘具有潜在稳定性，但在加入耗散电阻或电感元件后会变得不稳定。本文概述了有关基本忆阻器振荡器中混沌内核边缘电路的特性和行为的发现，以及在电压控制传感电路中的潜在应用，阐明了其在非线性动力学中的重要意义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Electrical Engineering & Technology ENGINEERING, ELECTRICAL & ELECTRONIC-

CiteScore

4.00

自引率

15.80%

发文量

321

审稿时长

3.8 months

期刊介绍： ournal of Electrical Engineering and Technology (JEET), which is the official publication of the Korean Institute of Electrical Engineers (KIEE) being published bimonthly, released the first issue in March 2006.The journal is open to submission from scholars and experts in the wide areas of electrical engineering technologies. The scope of the journal includes all issues in the field of Electrical Engineering and Technology. Included are techniques for electrical power engineering, electrical machinery and energy conversion systems, electrophysics and applications, information and controls.