Leibniz - Dirac Structures and Nonconservative Systems with Constraints

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dc.contributor.authorÇiftçi, Ünver
dc.date.accessioned2022-05-11T14:31:12Z
dc.date.available2022-05-11T14:31:12Z
dc.date.issued2013
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractAlthough conservative Hamiltonian systems with constraints can be formulated in terms of Dirac structures, a more general framework is necessary to cover also dissipative systems such as gradient and metriplectic systems with constraints. We define Leibniz-Dirac structures which lead to a natural generalization of Dirac and Riemannian structures, for instance. From modeling point of view, Leibniz-Dirac structures make it easy to formulate implicit dissipative Hamiltonian systems. We give their exact characterization in terms of bundle maps from the tangent bundle to the cotangent bundle and vice verse. Physical systems which can be formulated in terms of Leibniz-Dirac structures are discussed.
dc.identifier.doi10.3934/jgm.2013.5.167
dc.identifier.endpage183
dc.identifier.issn1941-4889
dc.identifier.issn1941-4897
dc.identifier.issue2en_US
dc.identifier.startpage167
dc.identifier.urihttps://doi.org/10.3934/jgm.2013.5.167
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7363
dc.identifier.volume5
dc.identifier.wosWOS:000322004700002
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.institutionauthorÇiftçi, Ünver
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofJournal of Geometric Mechanics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDirac manifolds
dc.subjectdissipative Hamiltonian systems
dc.subjectgradient systems
dc.subjectHamiltonian-Systems
dc.subjectAlgebroids
dc.subjectEquations
dc.titleLeibniz - Dirac Structures and Nonconservative Systems with Constraints
dc.typeArticle

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