62 articles – 637 references  [version française]
 HAL: hal-00420854, version 1
 arXiv: 0909.5574
 Journal of Physics A Mathematical and Theoretical 43, 8 (2010) 085207
 Kowalevski's Analysis of the Swinging Atwood's Machine.
 (2010-02-05)
 We study the Kowalevski expansions near singularities of the swinging Atwood's machine. We show that there is a infinite number of mass ratios $M/m$ where such expansions exist with the maximal number of arbitrary constants. These expansions are of the so--called weak Painlevé type. However, in view of these expansions, it is not possible to distinguish between integrable and non integrable cases.
 Subject : Physics/Mathematical PhysicsPhysics/High Energy Physics - Theory
 Keyword(s) : Systèmes dynamiques – Intégrabilité – Critère de Kowalevski-Painlevé