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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Noncanonical transformations of the spherical top
A. L. Kostko, A. V. Tsiganov Department of Mathematical and Computational Physics,
Institute of Physics,
St. Petersburg University,
198 904, St.Petersburg, Russia
Аннотация:
We discuss noncanonical transformations connecting different integrable systems on the symplectic leaves of the Poisson manifolds. The special class of transformations, which consists of the symplectic mappings of symplectic leaves and of the parallel transports induced by diffeomorphisms in the base of symplectic foliation, is considered. As an example, we list integrable systems associated with the spherical top. The corresponding additional integrals of motion are second, third and six order polynomials in momenta.
Поступила в редакцию: 04.02.2003
Образец цитирования:
A. L. Kostko, A. V. Tsiganov, “Noncanonical transformations of the spherical top”, Regul. Chaotic Dyn., 8:2 (2003), 143–154
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd772 https://www.mathnet.ru/rus/rcd/v8/i2/p143
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