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# Partial and super-integrability of Hamiltonian systems. A differential Galois approach.

Mardi, 19 Décembre, 2006 - 14:45
Prénom de l'orateur :
Andrzej
Nom de l'orateur :
MACIEJEWSKI
Résumé :

We consider natural Hamiltonian systems with homogeneous potential and
$n$ degrees of freedom. We give computable necessary conditions for:

1. the existence of $k$ commuting and independent first integrals
where $1leq k leq n$.
2. the existence of $n+k$ independent first
integrals such that $n$ of them commute and $1leq k leq n-1$.

Our results generalize the well known Morales-Ramis theorem which gives
necessary conditions for the Liouville integrability of the considered
class of Hamiltonian systems.

Institution de l'orateur :
université Zielona Gora
Thème de recherche :
Physique mathématique
Salle :
1 tour Irma