Fassò, Francesco and Giacobbe, Andrea and Sansonetto, Nicola On the number of weakly Noetherian constants of motion of nonholonomic systems. [Journal papers (printed)] (In pubblicazione)
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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 (see Fassò et al Rep. Math. Phys. 62 (2008), 345-367). 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.
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