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Título

Extended Hamiltonian systems in multisymplectic field theories

AutorEcheverría-Enríquez, Arturo; León, Manuel de; Muñoz-Lecanda, Miguel C.; Roman-Roy, Narciso
Palabras claveVariational techniques
Fecha de publicación2007
EditorAmerican Institute of Physics
CitaciónJournal of Mathematical Physics 48(11): 112901 (2007)
ResumenWe consider Hamiltonian systems in first-order multisymplectic field theories. We review the properties of Hamiltonian systems in the so-called restricted multimomentum bundle, including the variational principle which leads to the Hamiltonian field equations. In an analogous way to how these systems are defined in the so-called extended (symplectic) formulation of nonautonomous mechanics, we introduce Hamiltonian systems in the extended multimomentum bundle. The geometric properties of these systems are studied, the Hamiltonian equations are analyzed using integrable multivector fields, the corresponding variational principle is also stated, and the relation between the extended and the restricted Hamiltonian systems is established. All these properties are also adapted to certain kinds of submanifolds of the multimomentum bundles in order to cover the case of almost-regular field theories.
Versión del editorhttp://dx.doi.org/10.1063/1.2801875
URIhttp://hdl.handle.net/10261/22297
DOI10.1063/1.2801875
ISSN0022-2488
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