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Discrete dynamical systems over double cross-product Lie groupoids

dc.contributor.authorEsen, Oğulen_US
dc.contributor.authorSütlü, Serkanen_US
dc.date.accessioned2021-04-30T08:22:52Z
dc.date.available2021-04-30T08:22:52Z
dc.date.issued2021-03
dc.identifier.citationEsen, O. & Sütlü, S. (2021). Discrete dynamical systems over double cross-product Lie groupoids. International Journal Of Geometric Methods In Modern Physics, 18(4). doi:10.1142/S0219887821500572en_US
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.otherWOS:000629608400009
dc.identifier.urihttps://hdl.handle.net/11729/3142
dc.identifier.urihttp://dx.doi.org/10.1142/S0219887821500572
dc.description.abstractDiscrete Euler-Lagrange equations are studied over double cross product Lie groupoids. As such, a geometric framework for the local analysis of a discrete dynamical system is established. The arguments are elucidated on the local discrete dynamics of a gauge groupoid. The discrete Elroy's beanie is studied as a physical example.en_US
dc.description.sponsorshipThe first named author (OE) is grateful to Prof. Manuel de Leon and Prof. David Martin de Diego for their encouragements and kind interests in this study. Both authors acknowledge the support by TUBITAK (the Scientific and Technological Research Council of Turkey) under the project "Matched pairs of Lagrangian and Hamiltonian Systems" with the project number 117F426.en_US
dc.language.isoengen_US
dc.publisherWorld Scientificen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectDiscrete dynamicsen_US
dc.subjectLie groupoidsen_US
dc.subjectMatched pairsen_US
dc.subjectDouble cross producten_US
dc.subjectLagrangian mechanicsen_US
dc.subjectHopf-Algebrasen_US
dc.subjectEuler-Poincareen_US
dc.subjectBicrossproducten_US
dc.subjectReductionen_US
dc.titleDiscrete dynamical systems over double cross-product Lie groupoidsen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalInternational Journal Of Geometric Methods In Modern Physicsen_US
dc.contributor.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.contributor.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.contributor.authorID0000-0003-0925-8668
dc.identifier.volume18
dc.identifier.issue4
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.institutionauthorSütlü, Serkanen_US


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