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Kovalevskaya Top and Generalizations of Integrable Systems | A. V. Borisov
; I. S. Mamaev
; A. G. Kholmskaya
; | Date: |
1 Apr 2005 | Journal: | Regular and Chaotic Dynamics, 2001 Volume 6 Number 1 | Subject: | Exactly Solvable and Integrable Systems | nlin.SI | Abstract: | 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. | Source: | arXiv, nlin.SI/0504002 | Services: | Forum | Review | PDF | Favorites |
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