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Fassò, Francesco and Giacobbe, Andrea and Sansonetto, Nicola (2010) Linear weakly--Noetherian constants of motion are horizontal gauge momenta. [Journal papers (printed)]

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Abstract (english)

The notion of gauge momenta is a generalization of the
momentum map which is relevant for nonholonomic systems with symmetry. Weakly Noetherian functions are functions which are constants of motion of all `natural' nonholonomic systems with a given kinetic energy and any G--invariant potential energy. We show that, when the action of the symmetry group on the configuration manifold is free and proper, a functions which is linear in the velocities is weakly--Noetherian if anf only if it is a gauge momenta which has a
horizontal generator.

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EPrint type:Journal papers (printed)
Anno di Pubblicazione:21 September 2010
Key Words:Nonholonomic systems, Constants of motion, First integrals, Noether theorem
Settori scientifico-disciplinari MIUR:Area 01 - Scienze matematiche e informatiche > MAT/07 Fisica matematica
Struttura di riferimento:Dipartimenti > Dipartimento di Matematica
Codice ID:3191
Depositato il:20 Sep 2010 13:34
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