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

Mardi, 13 Décembre, 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
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