Dynamical connections and non-autonomous lagrangian systems
Manuel De León, Paulo R. Rodrigues (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Manuel De León, Paulo R. Rodrigues (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Neagu, Mircea (2002)
International Journal of Mathematics and Mathematical Sciences
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Manuel de León, David Martín de Diego (1996)
Extracta Mathematicae
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In this paper we present a geometrical formulation for Lagrangian systems subjected to non-holonomic constraints in terms of jet bundles. Cosymplectic geometry and almost product structures are used to obtained the constrained dynamics without using Lagrange multipliers method.
Manuel de León, David Martín de Diego (1996)
Extracta Mathematicae
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Given a Lagrangian system with non-holonomic constraints we construct an almost product structure on the tangent bundle of the configuration manifold such that the projection of the Euler-Lagrange vector field gives the dynamics of the system. In a degenerate case, we develop a constraint algorithm which determines a final constraint submanifold where a completely consistent dynamics of the initial system exists.
Mircea Neagu (2006)
Archivum Mathematicum
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The aim of this paper is to construct a canonical nonlinear connection on the 1-jet space from the Euler-Lagrange equations of the quadratic multi-time Lagrangian function
Enrico Massa, Enrico Pagani (1991)
Annales de l'I.H.P. Physique théorique
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