Please use this identifier to cite or link to this item: http://dspace.mediu.edu.my:8181/xmlui/handle/10261/4165
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dc.creatorBarbero-Liñán, María-
dc.creatorEcheverría-Enríquez, Arturo-
dc.creatorMartín de Diego, David-
dc.creatorMuñoz-Lecanda, Miguel C.-
dc.creatorRoman-Roy, Narciso-
dc.date2008-05-12T12:24:52Z-
dc.date2008-05-12T12:24:52Z-
dc.date2008-03-28-
dc.date.accessioned2017-01-31T01:14:56Z-
dc.date.available2017-01-31T01:14:56Z-
dc.identifierarXiv:0803.4085v1 [math-ph]-
dc.identifierhttp://hdl.handle.net/10261/4165-
dc.identifier.urihttp://dspace.mediu.edu.my:8181/xmlui/handle/10261/4165-
dc.description15 pp.-- MSC classes: 37J05, 53D05, 55R10, 70H03, 70H05.-
dc.descriptionWe 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 motion and their compatibility and consistency are carefully studied, making clear that all the characteristics of the Lagrangian and the Hamiltonian formalisms are recovered in this formulation. As an example, it is studied a semidiscretization of the nonlinear wave equation proving the applicability of the proposed formalism.-
dc.descriptionWe acknowledge the financial support of Ministerio de Educación y Ciencia, Projects MTM2005-04947, MTM2007-62478, and S-0505/ESP/0158 of the CAM. One of us (MBL) also acknowledges the financial support of the FPU grant AP20040096.-
dc.descriptionPeer reviewed-
dc.format233743 bytes-
dc.formatapplication/pdf-
dc.languageeng-
dc.relationPreprint-
dc.rightsopenAccess-
dc.subjectLagrangian and Hamiltonian formalisms-
dc.subjectAutonomous mechanics-
dc.subjectSymplectic and presymplectic manifolds-
dc.subjectMathematical Physics-
dc.titleUnified formalism for non-autonomous mechanical systems-
dc.typePre-print-
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