We develop a method to give an estimate on the number of functionally independent constants of motion of a nonholonomic system with symmetry which have the so called 'weakly Noetherian' property [22]. We show that this number is bounded from above by the corank of the involutive closure of a certain distribution on the constraint manifold. The effectiveness of the method is illustrated on several examples.

On the number of weakly Noetherian constants of motion of nonholonomic systems

Sansonetto, Nicola
2009-01-01

Abstract

We develop a method to give an estimate on the number of functionally independent constants of motion of a nonholonomic system with symmetry which have the so called 'weakly Noetherian' property [22]. We show that this number is bounded from above by the corank of the involutive closure of a certain distribution on the constraint manifold. The effectiveness of the method is illustrated on several examples.
Nonholonomic systems; Constants of motion; First integrals; Noether theorem
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/1010150
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