Displaying similar documents to “A direct geometrical construction of the dynamics of non-holonomic Lagrangian systems.”

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.

From Euler-Lagrange equations to canonical nonlinear connections

Mircea Neagu (2006)

Archivum Mathematicum

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The aim of this paper is to construct a canonical nonlinear connection Γ = ( M ( α ) β ( i ) , N ( α ) j ( i ) ) on the 1-jet space J 1 ( T , M ) from the Euler-Lagrange equations of the quadratic multi-time Lagrangian function L = h α β ( t ) g i j ( t , x ) x α i x β j + U ( i ) ( α ) ( t , x ) x α i + F ( t , x ) .