Tulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundles

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dc.authorid0000-0002-6766-0287
dc.authorid0000-0001-9793-9062
dc.authorid0000-0003-0925-8668
dc.contributor.authorEsen, Oğulen_US
dc.contributor.authorGümral, Hasanen_US
dc.contributor.authorSütlü, Serkanen_US
dc.date.accessioned2023-02-10T11:24:57Z
dc.date.available2023-02-10T11:24:57Z
dc.date.issued2021
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractGiven a Lie group G, we elaborate the dynamics on T*T*G and T*TG, which is given by a Hamiltonian, as well as the dynamics on the Tul-czyjew symplectic space TT * G, which may be defined by a Lagrangian or a Hamiltonian function. As the trivializations we adapted respect the group structures of the iterated bundles, we exploit all possible subgroup reductions (Poisson, symplectic or both) of higher order dynamics.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationEsen, O., Gümral, H. & Sütlü, S. (2021). Tulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundles. Theoretical and Applied Mechanics, 48(2), 201-236. doi:10.2298/TAM210312009Een_US
dc.identifier.doi10.2298/TAM210312009E
dc.identifier.endpage236
dc.identifier.issn1450-5584
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85113622203
dc.identifier.scopusqualityQ3
dc.identifier.startpage201
dc.identifier.urihttps://hdl.handle.net/11729/5364
dc.identifier.urihttp://dx.doi.org/10.2298/TAM210312009E
dc.identifier.volume48
dc.identifier.wosWOS:001239059600003
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.institutionauthorSütlü, Serkanen_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherSerbian Society of Mechanicsen_US
dc.relation.ispartofTheoretical and Applied Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEuler—Poincaré equationsen_US
dc.subjectHigher order dynamics on Lie groupsen_US
dc.subjectLie—Poisson equationsen_US
dc.subjectLagrangianen_US
dc.subjectMulti-symplecticen_US
dc.subjectNonholonomic systemsen_US
dc.titleTulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundlesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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