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dc.contributor.authorBarbero Liñán, María
dc.contributor.authorEcheverría Enríquez, Arturo
dc.contributor.authorMartín de Diego, David
dc.contributor.authorMuñoz Lecanda, Miguel Carlos
dc.contributor.authorRomán Roy, Narciso
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.description.abstractWe 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.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshField theory
dc.subject.otherLagrangian and Hamiltonian formalisms
dc.subject.otherTime-dependent mechanical systems
dc.titleUnified formalism for non-autonomous mechanical systems
dc.typeWorking paper
dc.subject.lemacSistemes dinàmics diferenciables
dc.contributor.groupUniversitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
dc.subject.amsClassificació AMS::55 Algebraic topology::55R Fiber spaces and bundles
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
dc.rights.accessOpen Access
dc.relation.projectidcttCTT J-01080

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