{"title":"最简单的 Memristor 振荡器得益于混沌边缘内核","authors":"Maheshwar Sah, Vetriveeran Rajamani, Ram Kaji Budhathoki, Devaraj Somasundaram, Sultan Mahmood Chowdhury","doi":"10.1007/s42835-024-02011-6","DOIUrl":null,"url":null,"abstract":"<p>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 <i>“edge of chaos kernel”</i>, 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 <i>negative resistance </i>(<i>R</i> < 0) and <i>negative inductance </i>(<i>L</i> < 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.</p>","PeriodicalId":15577,"journal":{"name":"Journal of Electrical Engineering & Technology","volume":"35 1","pages":""},"PeriodicalIF":1.6000,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Simplest Memristor Oscillator is blessed with an Edge of Chaos Kernel\",\"authors\":\"Maheshwar Sah, Vetriveeran Rajamani, Ram Kaji Budhathoki, Devaraj Somasundaram, Sultan Mahmood Chowdhury\",\"doi\":\"10.1007/s42835-024-02011-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>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 <i>“edge of chaos kernel”</i>, 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 <i>negative resistance </i>(<i>R</i> < 0) and <i>negative inductance </i>(<i>L</i> < 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.</p>\",\"PeriodicalId\":15577,\"journal\":{\"name\":\"Journal of Electrical Engineering & Technology\",\"volume\":\"35 1\",\"pages\":\"\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2024-08-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Electrical Engineering & Technology\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1007/s42835-024-02011-6\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Electrical Engineering & Technology","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s42835-024-02011-6","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
The Simplest Memristor Oscillator is blessed with an Edge of Chaos Kernel
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.
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.
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