Kovalevskaya Top and Generalizations of Integrable Systems
| dc.creator | Borisov, A. V. | |
| dc.creator | Mamaev, I. S. | |
| dc.creator | Kholmskaya, A. G. | |
| dc.date | 2005-04-01 | |
| dc.date.accessioned | 2026-07-07T05:36:23Z | |
| dc.date.available | 2026-07-07T05:36:23Z | |
| dc.description | 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. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/nlin/0504002 | |
| dc.identifier | http://arxiv.org/abs/nlin/0504002 | |
| dc.identifier | Regular and Chaotic Dynamics, 2001 Volume 6 Number 1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80977 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Kovalevskaya Top and Generalizations of Integrable Systems | |
| dc.type | text |