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Publications du LPTA |  |
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Publications du LPTA | |
| HAL: hal-00420854, version 1 |
| arXiv: 0909.5574 |
| DOI: 10.1088/1751-8113/43/8/085207 |
| Detailed view |  Export this paper |
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| Journal of Physics A Mathematical and Theoretical 43, 8 (2010) 085207 |
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| Kowalevski's Analysis of the Swinging Atwood's Machine. |
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| Olivier Babelon1Michel Talon1Michel Capdequi-Peyranere2 |
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| (2010-02-05) |
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| 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. |
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| 1: | LPTHE - Laboratoire de Physique Théorique et Hautes Energies |
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| 2: | LPTA - Laboratoire de Physique Théorique et Astroparticules |
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| Subject | : | Physics/Mathematical Physics Physics/High Energy Physics - Theory |
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| Systèmes dynamiques – Intégrabilité – Critère de Kowalevski-Painlevé |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/0909.5574 |
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| hal-00420854, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00420854 | |
| oai:hal.archives-ouvertes.fr:hal-00420854 | |
| From: Michel Talon | |
| Submitted on: Tuesday, 29 September 2009 18:30:41 | |
| Updated on: Tuesday, 2 March 2010 12:54:17 | |
