{"title":"Mutators for transforming nonlinear resistor into memristor","authors":"D. Biolek, J. Bajer, V. Biolková, Z. Kolka","doi":"10.1109/ECCTD.2011.6043393","DOIUrl":null,"url":null,"abstract":"A method of analogue emulation of the memristor with its prescribed charge (q<inf>M</inf>) - flux (ϕ<inf>M</inf>) constitutive relation is presented. The memristor is emulated via a resistor with nonlinear current (i<inf>R</inf>) - voltage (v<inf>R</inf>) relationship, and a mutator. The purpose of the mutator is to provide a similarity transformation of the current-voltage characteristic of the resistor into the constitutive relation of the memristor according to the equations q<inf>M</inf>=k<inf>y</inf>i<inf>R</inf>, ϕ<inf>M</inf> =k<inf>x</inf>v<inf>R</inf>, or ϕ<inf>M</inf>=k<inf>y</inf>i<inf>R</inf>, q<inf>M</inf>=k<inf>x</inf>v<inf>R</inf>, where k<inf>x</inf>, k<inf>y</inf> are real numbers fulfilling the condition k<inf>x</inf>k<inf>y</inf>>0. It is shown that there are eight versions of these mutators. One of them is selected for experimental verification.","PeriodicalId":126960,"journal":{"name":"2011 20th European Conference on Circuit Theory and Design (ECCTD)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"41","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 20th European Conference on Circuit Theory and Design (ECCTD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ECCTD.2011.6043393","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 41
Abstract
A method of analogue emulation of the memristor with its prescribed charge (qM) - flux (ϕM) constitutive relation is presented. The memristor is emulated via a resistor with nonlinear current (iR) - voltage (vR) relationship, and a mutator. The purpose of the mutator is to provide a similarity transformation of the current-voltage characteristic of the resistor into the constitutive relation of the memristor according to the equations qM=kyiR, ϕM =kxvR, or ϕM=kyiR, qM=kxvR, where kx, ky are real numbers fulfilling the condition kxky>0. It is shown that there are eight versions of these mutators. One of them is selected for experimental verification.
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