Hamilton’s principle for circuits with dissipative elements

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dc.contributor.authorBiolek, Zdeněkcs
dc.contributor.authorBiolek, Daliborcs
dc.contributor.authorBiolková, Vieracs
dc.coverage.issue1cs
dc.coverage.volume2019cs
dc.date.issued2019-10-28cs
dc.description.abstractThe classic form of Hamilton’s variational principle does not hold for circuits with dissipative elements. It is shown in the paper that this may not be true in the case of systems consisting of the so-called higher-order elements. Hamilton’s principle is then extended to circuits containing the classical resistors and Frequency Dependent Negative Resistors (FDNRs). The extension is also made to any pair of elements which are the nearest neighbours on any sigma-diagonal of Chua’s table.en
dc.formattextcs
dc.format.extent1-7cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationCOMPLEXITY. 2019, vol. 2019, issue 1, p. 1-7.en
dc.identifier.doi10.1155/2019/2035324cs
dc.identifier.issn1076-2787cs
dc.identifier.orcid0000-0002-7607-6146cs
dc.identifier.orcid0000-0003-2589-2722cs
dc.identifier.other159542cs
dc.identifier.researcheridE-4125-2018cs
dc.identifier.researcheridE-3698-2018cs
dc.identifier.scopus6603672687cs
dc.identifier.scopus6506028849cs
dc.identifier.urihttp://hdl.handle.net/11012/184089
dc.language.isoencs
dc.publisherHindawics
dc.relation.ispartofCOMPLEXITYcs
dc.relation.urihttps://dx.doi.org/10.1155/2019/2035324cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1076-2787/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectHamilton's variational principleen
dc.subjecthigher-order elementen
dc.subjectLagrangianen
dc.subjectFDNR.en
dc.titleHamilton’s principle for circuits with dissipative elementsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-159542en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:39:00en
sync.item.modts2025.01.17 16:39:29en
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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