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Unified formalism for non-autonomous mechanical systems

AutorBarbero-Liñán, María; Echeverría-Enríquez, Arturo; Martín de Diego, David; Muñoz-Lecanda, Miguel C.; Roman-Roy, Narciso
Palabras claveLagrangian and Hamiltonian formalisms
Autonomous mechanics
Symplectic and presymplectic manifolds
Mathematical Physics
Fecha de publicación28-mar-2008
CitaciónarXiv:0803.4085v1 [math-ph]
ResumenWe 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.
Descripción15 pp.-- MSC classes: 37J05, 53D05, 55R10, 70H03, 70H05.
URIhttp://hdl.handle.net/10261/4165
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