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First integrals generated by pseudosymmetries in Nambu-Poisson mechanics

Mircea Crâşmăreanu
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Abstract

Some types of first integrals for Hamiltonian Nambu-Poisson vector fields are obtained by using the notions of pseudosymmetries. In this theory, the homogeneous Hamiltonian vector fields play a special role and we point out this fact. The differential system which describe the $SU(2)$-monopoles is given as example. The paper ends with two appendices.

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Mircea Crâşmăreanu. 2000-04-01. First integrals generated by pseudosymmetries in Nambu-Poisson mechanics. https://arxiv.org/abs/nlin/0004041

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