اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدKowalevskis analysis of the swinging Atwoods machine
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Olivier Babelon
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We study the Kowalevski expansions near singularities of the swinging Atwoods 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 Painleve type. However, in view of these expansions, it is not possible to distinguish between integrable and non integrable cases.
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