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Noether theorem and first integrals of constrained Lagrangean systems

Olga Krupková (1997)

Mathematica Bohemica

The dynamics of singular Lagrangean systems is described by a distribution the rank of which is greater than one and may be non-constant. Consequently, these systems possess two kinds of conserved functions, namely, functions which are constant along extremals (constants of the motion), and functions which are constant on integral manifolds of the corresponding distribution (first integrals). It is known that with the help of the (First) Noether theorem one gets constants of the motion. In this...

Noether transformations with vanishing conserved quantity

Xavier Gràcia, Josep M. Pons (1994)

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

Non-collision solutions for a class of planar singular Lagrangian systems.

Boughariou, Morched (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Noncommutative Lagrange mechanics.

Kochan, Denis (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Non-holonomic mechanical systems in jet bundles.

Manuel de León, David Martín de Diego (1996)

Extracta Mathematicae

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.