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Эта публикация цитируется в 11 научных статьях (всего в 11 статьях)
Kovalevskaya Top and Generalizations of Integrable Systems
A. V. Borisova, I. S. Mamaevb, A. G. Kholmskayac a Department of Theoretical Mechanics, Moscow State University, Vorob'ievy Gory, 119899, Moscow, Russia
b Laboratory of Dynamical Chaos and Nonlinearity, Udmurt State University, Universitetskaya, 1, 426034, Izhevsk, Russia
c Udmurt State University, Universitetskaya, 1, 426034, Izhevsk, Russia
Аннотация:
Generalizations of the Kovalevskaya, Chaplygin, Goryachev–Chaplygin and Bogoyavlensky systems on a bundle are considered in this paper. Moreover, a method of introduction of separating variables and action-angle variables is described. Another integration method for the Kovalevskaya top on the bundle is found. This method uses a coordinate transformation that reduces the Kovalevskaya system to the Neumann system. The Kolosov analogy is considered. A generalization of a recent Gaffet system to the bundle of Poisson brackets is obtained at the end of the paper.
Поступила в редакцию: 12.12.2000
Образец цитирования:
A. V. Borisov, I. S. Mamaev, A. G. Kholmskaya, “Kovalevskaya Top and Generalizations of Integrable Systems”, Regul. Chaotic Dyn., 6:1 (2001), 1–16
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd829 https://www.mathnet.ru/rus/rcd/v6/i1/p1
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