Two notions of integrability
Michèle AudinUniversité de Strasbourg, France
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We investigate the relation between two notions of integrability, to have enough first integrals on the one hand, and to have meromorphic solutions on the other, that are present in Kowalevskaya’s famous mémoire on the rigid body problem. We concentrate on the examples of the rigid body and of the system of Hénon–Heiles.