Extended Hamiltonian systems in multisymplectic field theories

Autor: Echeverria-Enriquez, Arturo, de Leon, Manuel, Munoz-Lecanda, Miguel C., Roman-Roy, Narciso

Publikováno v: J. Math. Phys. 48(11) (2007) 112901

We 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

Externí odkaz: http://arxiv.org/abs/math-ph/0506003

Geometry of Lagrangian First-order Classical Field Theories

Autor: Echeverría-Enríquez, Arturo, Muñoz-Lecanda, Miguel C., Román-Roy, Narciso

Publikováno v: Fortschritte der Physik 44(3) (1996) 235-280

We construct a lagrangian geometric formulation for first-order field theories using the canonical structures of first-order jet bundles, which are taken as the phase spaces of the systems in consideration. First of all, we construct all the geometri

Externí odkaz: http://arxiv.org/abs/dg-ga/9505004

Unified formalism for non-autonomous mechanical systems

Autor: Barbero Liñán, María, Echeverría Enríquez, Arturo, Martín de Diego, David, Muñoz Lecanda, Miguel Carlos, Román Roy, Narciso

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
Universitat Jaume I

We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of regular and non-regular time-dependent mechanical systems, which is based on the approach of Skinner and Rusk (1983). The dynamical equations of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::29ed489f87bb867cd7a59c35116ffabb
http://hdl.handle.net/2117/2654

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