Discrete dynamical systems over double cross-product Lie groupoids

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dc.contributor.authorEsen, Ogul
dc.contributor.authorSutlu, Serkan
dc.date.accessioned2025-10-29T11:13:17Z
dc.date.issued2021
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
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.
dc.description.sponsorshipTUBITAK (the Scientific and Technological Research Council of Turkey) [117F426]
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.
dc.identifier.doi10.1142/S0219887821500572
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue4
dc.identifier.orcid0000-0002-6766-0287
dc.identifier.scopus2-s2.0-85099941520
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0219887821500572
dc.identifier.urihttps://hdl.handle.net/20.500.14854/6675
dc.identifier.volume18
dc.identifier.wosWOS:000629608400009
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Geometric Methods in Modern Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectDiscrete dynamics
dc.subjectLie groupoids
dc.subjectmatched pairs
dc.subjectdouble cross product
dc.titleDiscrete dynamical systems over double cross-product Lie groupoids
dc.typeArticle

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