Motions of a swinging Atwood’s machine
نویسنده
چکیده
2014 The Lagrangian L03BC (r, 03B8) = 1/2(1 + 03BC)r2 + 1 2r203B82r(03BC cos 03B8) with 1 03BC ~ 3.1 is studied using a surface of section map. Regular and chaotic behaviour is exhibited. The numerical evidence suggests the motion is integrable for 03BC = 3. Integrability is proved by explicitly exhibiting a first integral. J. Physique 46 (1985) 1495-1500 SEPTEMBRE 1985, Classification Physics Abstracts 02.30 03.20
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