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dc.contributor.authorEcheverría Enríquez, Arturo
dc.contributor.authorLeón, Manuel de
dc.contributor.authorMuñoz Lecanda, Miguel Carlos
dc.contributor.authorRomán Roy, Narciso
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.date.accessioned2006-05-24T17:43:00Z
dc.date.available2006-05-24T17:43:00Z
dc.date.issued2005-06-20
dc.identifier.urihttp://hdl.handle.net/2117/399
dc.description.abstractWe consider Hamiltonian systems in first-order multisymplectic field theories. First we review the construction and properties of Hamiltonian systems in the so-called restricted multimomentum bundle using Hamiltonian sections, including the variational principle which leads to the Hamiltonian field equations. Then, we introduce Hamiltonian systems in the extended multimomentum bundle, in an analogous way to how these systems are defined in non-autonomous (symplectic) mechanics or in the so-called extended (symplectic) formulation of autonomous mechanics. The corresponding variational principle is also stated for these extended Hamiltonian systems and, after studying the geometric properties of these systems, we establish the relation between the extended and the restricted ones. These definitions and properties are also adapted to submanifolds of the multimomentum bundles in order to cover the case of almost-regular field theories.
dc.format.extent35
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject.lcshDifferential geometry
dc.subject.lcshHamiltonian systems
dc.subject.otherFirst order Field Theories
dc.subject.otherHamiltonian systems
dc.subject.otherFiber bundles
dc.subject.otherMultisymplectic manifolds
dc.titleHamiltonian Systems in Multisymplectic Field Theories
dc.typeArticle
dc.subject.lemacGeometria diferencial
dc.subject.lemacHamilton, Sistemes de
dc.contributor.groupUniversitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-xx}::70S Classical field theories [See also 37Kxx, 37Lxx, 78-xx, 81Txx, 83-xx]
dc.subject.amsClassificació AMS::55 Algebraic topology::55R Fiber spaces and bundles [See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25]
dc.subject.amsClassificació AMS::53 Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx}::53C Global differential geometry [See also 51H25, 58-xx; for related bundle theory, see 55Rxx, 57Rxx]
dc.rights.accessOpen Access
dc.relation.projectidcttMTM2005-04947
local.personalitzacitaciotrue


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