dc.contributor.author | Esen, Oğul | en_US |
dc.contributor.author | Gümral, Hasan | en_US |
dc.contributor.author | Sütlü, Serkan | en_US |
dc.date.accessioned | 2023-02-10T11:24:57Z | |
dc.date.available | 2023-02-10T11:24:57Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Esen, 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/TAM210312009E | en_US |
dc.identifier.issn | 1450-5584 | en_US |
dc.identifier.uri | https://hdl.handle.net/11729/5364 | |
dc.identifier.uri | http://dx.doi.org/10.2298/TAM210312009E | |
dc.description.abstract | Given 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.language.iso | en | en_US |
dc.publisher | Serbian Society of Mechanics | en_US |
dc.relation.ispartof | Theoretical and Applied Mechanics | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Euler—Poincaré equations | en_US |
dc.subject | Higher order dynamics on Lie groups | en_US |
dc.subject | Lie—Poisson equations | en_US |
dc.subject | Lagrangian | en_US |
dc.subject | Multi-symplectic | en_US |
dc.subject | Nonholonomic systems | en_US |
dc.title | Tulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundles | en_US |
dc.type | Article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.authorid | 0000-0003-0925-8668 | |
dc.authorid | 0000-0003-0925-8668 | en_US |
dc.identifier.volume | 48 | |
dc.identifier.issue | 2 | |
dc.identifier.startpage | 201 | |
dc.identifier.endpage | 236 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.institutionauthor | Sütlü, Serkan | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.identifier.scopus | 2-s2.0-85113622203 | en_US |
dc.identifier.doi | 10.2298/TAM210312009E | |
dc.identifier.scopusquality | Q3 | en_US |