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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Quasi-periodic Motions of a Rigid Body. I. Quadratic Hamiltonians on the Sphere with a Distinguished Parameter
Heinz Hanßmann Institut für Reine und Angewandte Mathematik der RWTH Aaghen,
52056 Aachen, Germany
Аннотация:
The motion of a dynamically symmetric rigid body, fixed at one point and subject to an affine (constant+linear) force field is studied. The force being weak, the system is treated as a perturbation of the Euler top, a superintegrable system. Averaging along the invariant 2-tori of the Euler top yields a normal form which can be reduced to one degree of freedom, parametrized by the corresponding actions. The behaviour of this family is used to identify quasi-periodic motions of the rigid body with two or three independent frequencies
Поступила в редакцию: 12.05.1997
Образец цитирования:
Heinz Hanßmann, “Quasi-periodic Motions of a Rigid Body. I. Quadratic Hamiltonians on the Sphere with a Distinguished Parameter”, Regul. Chaotic Dyn., 2:2 (1997), 41–57
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd984 https://www.mathnet.ru/rus/rcd/v2/i2/p41
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Страница аннотации: | 60 |
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