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Kowalevski's Analysis of the Swinging Atwood's Machine. ![]() Auteur(s): Babelon Olivier, Talon Michel, Capdequi-Peyranere M.
(Article) Publié:
Journal Of Physics A Mathematical And Theoretical, vol. 43 p.085207 (2010)
Texte intégral en Openaccess : Ref HAL: hal-00420854_v1 Ref Arxiv: 0909.5574 DOI: 10.1088/1751-8113/43/8/085207 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 1 citation Résumé: 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. |