Higher-Order Hamiltonian for Circuits with (alpha,beta) Elements

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dc.contributor.authorBiolek, Zdeněkcs
dc.contributor.authorBiolek, Daliborcs
dc.contributor.authorBiolková, Vieracs
dc.contributor.authorKolka, Zdeněkcs
dc.coverage.issue4cs
dc.coverage.volume22cs
dc.date.issued2020-04-05cs
dc.description.abstractThe paper studies the construction of the Hamiltonian for circuits built from the (alpha,beta) elements of Chua’s periodic table. It starts from the Lagrange function, whose existence is limited to sigma-circuits, i.e., circuits built exclusively from elements located on a common sigma-diagonal of the table. We show that the Hamiltonian can also be constructed via the generalized Tellegen’s theorem. According to the ideas of predictive modeling, the resulting Hamiltonian is made up exclusively of the constitutive relations of the elements in the circuit. Within the frame of Ostrogradsky’s formalism, the simulation scheme of S-circuits is designed and examined with the example of a nonlinear Pais–Uhlenbeck oscillator.en
dc.formattextcs
dc.format.extent1-20cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationENTROPY. 2020, vol. 22, issue 4, p. 1-20.en
dc.identifier.doi10.3390/e22040412cs
dc.identifier.issn1099-4300cs
dc.identifier.orcid0000-0002-7607-6146cs
dc.identifier.orcid0000-0003-2589-2722cs
dc.identifier.orcid0000-0002-7034-9430cs
dc.identifier.other164146cs
dc.identifier.researcheridE-4125-2018cs
dc.identifier.researcheridE-3698-2018cs
dc.identifier.researcheridE-3657-2018cs
dc.identifier.scopus6603672687cs
dc.identifier.scopus6506028849cs
dc.identifier.scopus6602443208cs
dc.identifier.urihttp://hdl.handle.net/11012/188176
dc.language.isoencs
dc.publisherMDPI AGcs
dc.relation.ispartofENTROPYcs
dc.relation.urihttps://www.mdpi.com/1099-4300/22/4/412cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1099-4300/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjecthigher-order elementen
dc.subjectconstitutive relationen
dc.subjectHamiltonianen
dc.subjectLagrangianen
dc.subjectChua’s tableen
dc.subjectmemristoren
dc.subjectEuler-Lagrange equationen
dc.titleHigher-Order Hamiltonian for Circuits with (alpha,beta) Elementsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-164146en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:39:00en
sync.item.modts2025.01.17 16:51:05en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav radioelektronikycs
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav mikroelektronikycs
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Centrum senzorických, informačních a komunikačních systémůcs
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