Takacs Model of Hysteresis in Mathematical Modeling of Memristors

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dc.contributor.authorDautovic, Stanisa
dc.contributor.authorSamardzic, Natasa
dc.contributor.authorJuhas, Anamarija
dc.coverage.issue1cs
dc.coverage.volume29cs
dc.date.accessioned2020-05-04T09:39:03Z
dc.date.available2020-05-04T09:39:03Z
dc.date.issued2020-04cs
dc.description.abstractIn this paper, the mathematical modeling of memristor via Takacs model of hysteresis is presented along with a modification of this model tailored to describe the asymmetric hysteresis loop and first order reversal curves. In particular, it is shown that there is a class of differential equations of the Duhem model of hysteresis where every member of the class could play a role of the state equation of memristor. Within this class of Duhem differential equations, there are two distinct subclasses: one corresponding to the Takacs model and the other one corresponding to the state equations of the memristor model with the Biolek window function of various degrees p. These two subclasses have a non-empty intersection, which contains the state equation of the memristor model with the Biolek window function for p=1. To demonstrate the proposed approach, three examples are presented.en
dc.formattextcs
dc.format.extent147-158cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRadioengineering. 2020 vol. 29, č. 1, s. 147-158. ISSN 1210-2512cs
dc.identifier.doi10.13164/re.2020.0147en
dc.identifier.issn1210-2512
dc.identifier.urihttp://hdl.handle.net/11012/186945
dc.language.isoencs
dc.publisherSpolečnost pro radioelektronické inženýrstvícs
dc.relation.ispartofRadioengineeringcs
dc.relation.urihttps://www.radioeng.cz/fulltexts/2019/20_01_0147_0158.pdfcs
dc.rightsCreative Commons Attribution 4.0 International licenseen
dc.rights.accessopenAccessen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectHysteresis loopen
dc.subjectTakacs modelen
dc.subjectpinched hysteresis loopen
dc.subjectmemristoren
dc.titleTakacs Model of Hysteresis in Mathematical Modeling of Memristorsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.facultyFakulta eletrotechniky a komunikačních technologiícs
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