Utilization of Euler-Lagrange Equations in Circuits with Memory Elements

dc.contributor.authorBiolek, Zdenek
dc.contributor.authorBiolek, Dalibor
dc.contributor.authorBiolkova, Viera
dc.coverage.issue4cs
dc.coverage.volume25cs
dc.date.accessioned2017-01-27T06:24:09Z
dc.date.available2017-01-27T06:24:09Z
dc.date.issued2016-12cs
dc.description.abstractIt is well known that the equation of motion of a system can be set up using the Lagrangian and the dissipation function, which describe the conservative and dissipative parts of the system. However, this procedure, consisting in a systematic differentiation of the above state functions, cannot be used for circuits containing simultaneously conventional nonlinear elements such as the resistor, capacitor, and inductor, and their nonlinear memory versions – the memristor, memcapacitor, and meminductor. The paper provides a general solution to this problem and demonstrates it on the example of modeling Josephson’s junction.en
dc.formattextcs
dc.format.extent783-789cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRadioengineering. 2016 vol. 25, č. 4, s. 783-789. ISSN 1210-2512cs
dc.identifier.doi10.13164/re.2016.0783en
dc.identifier.issn1210-2512
dc.identifier.urihttp://hdl.handle.net/11012/63764
dc.language.isoencs
dc.publisherSpolečnost pro radioelektronické inženýrstvícs
dc.relation.ispartofRadioengineeringcs
dc.relation.urihttp://www.radioeng.cz/fulltexts/2016/16_04_0783_0789.pdfcs
dc.rightsCreative Commons Attribution 3.0 Unported Licenseen
dc.rights.accessopenAccessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en
dc.subjectResistoren
dc.subjectcapacitoren
dc.subjectinductoren
dc.subjectmemristoren
dc.subjectmemcapacitoren
dc.subjectmeminductoren
dc.subjectcontenten
dc.subjectenergyen
dc.subjectactionen
dc.subjectLagrangianen
dc.titleUtilization of Euler-Lagrange Equations in Circuits with Memory Elementsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.facultyFakulta eletrotechniky a komunikačních technologiícs
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