On time-dependent Hamiltonian realizations of planar and nonplanar systems

dc.contributor.authorEsen, Ogul
dc.contributor.authorGuha, Partha
dc.date.accessioned2025-10-29T11:27:37Z
dc.date.issued2018
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, we elucidate the key role played by the cosymplectic geometry in the theory of time dependent Hamiltonian systems in 2D. We generalize the cosymplectic structures to time-dependent Nambu-Poisson Hamiltonian systems and corresponding Jacobi's last multiplier for 3D systems. We illustrate our constructions with various examples. (C) 2018 Elsevier B.V. All rights reserved.
dc.description.sponsorshipFAPESP through Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo [2016/06560-6]
dc.description.sponsorshipFundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [16/06560-6] Funding Source: FAPESP
dc.description.sponsorshipThe research of Partha Guha is partially supported by FAPESP through Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo with grant number 2016/06560-6.
dc.identifier.doi10.1016/j.geomphys.2018.01.024
dc.identifier.endpage45
dc.identifier.issn0393-0440
dc.identifier.issn1879-1662
dc.identifier.orcid0000-0002-6766-0287
dc.identifier.startpage32
dc.identifier.urihttps://doi.org/10.1016/j.geomphys.2018.01.024
dc.identifier.urihttps://hdl.handle.net/20.500.14854/10834
dc.identifier.volume127
dc.identifier.wosWOS:000429753400004
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherElsevier Science Bv
dc.relation.ispartofJournal of Geometry and Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectJacobi's last multiplier
dc.subjectCosymplectic manifolds
dc.subjectTime-dependent Hamiltonian dynamics
dc.subjectNambu-Hamiltonian systems
dc.subjectConformal Hamiltonian systems
dc.titleOn time-dependent Hamiltonian realizations of planar and nonplanar systems
dc.typeArticle

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