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# Application of Morales-Ramis method to the class of Hamiltonian systems with homogeneous potentials.

Tuesday, 13 December, 2005 - 15:00
Prénom de l'orateur :
Maria
Nom de l'orateur :
PRZYBYLSKA
Résumé :

In this second part we show the Morales-Ramis theory in action. Namely, the class of Hamiltonian systems with two degrees of freedom and homogeneous potential of degree $k>2$ is analysed. As results the rigorous proofs of the non-integrability and integrable potentials are obtained. Also some open problems will be presented.

Thème de recherche :
Physique mathématique
Salle :
1 tour Irma