A new look at classical mechanics of constrained systems
Enrico Massa, Enrico Pagani (1997)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “Classical dynamics of non-holonomic systems : a geometric approach”
A new look at classical mechanics of constrained systems
Jet bundle geometry, dynamical connections, and the inverse problem of lagrangian mechanics
Enrico Massa, Enrico Pagani (1994)
Annales de l'I.H.P. Physique théorique
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A unified approach to constrained mechanical systems as implicit differential equations
F. Barone, R. Grassini, G. Mendella (1999)
Annales de l'I.H.P. Physique théorique
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A direct geometrical construction of the dynamics of non-holonomic Lagrangian systems.
W. Sarlet (1996)
Extracta Mathematicae
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Contact transformations in Wheeler-Feynman electrodynamics
Yurij Yaremko (1997)
Annales de l'I.H.P. Physique théorique
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Non-holonomic mechanical systems in jet bundles.
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.
Solving non-holonomic Lagrangian dynamics in terms of almost product structures.
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.