Dynamical connections and non-autonomous lagrangian systems

Manuel De León; Paulo R. Rodrigues

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A direct geometrical construction of the dynamics of non-holonomic Lagrangian systems.

W. Sarlet (1996)

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Non-holonomic mechanical systems in jet bundles.

Manuel de León, David Martín de Diego (1996)

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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.

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León, Manuel de, Rodrigues, Paulo R. (1990)

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Linearisation of second-order differential equations.

Eduardo Martínez (1996)

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Given a second order differential equation on a manifold we find necessary and sufficient conditions for the existence of a coordinate system in which the system is linear. The main tool to be used is a linear connection defined by the system of differential equations.

A characterization of tangent and stable tangent bundles

M. De León, E. Merino, J. A. Oubiña, M. Salgado (1994)

Annales de l'I.H.P. Physique théorique

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