| Authors: | Dragović, Vladimir Gajić, Borislav |
| Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts |
| Title: | On the cases of Kirchhoff and Chaplygin of the Kirchhoff equations |
| Journal: | Regular and Chaotic Dynamics |
| Volume: | 17 |
| Issue: | 5 |
| First page: | 431 |
| Last page: | 438 |
| Issue Date: | 1-Sep-2012 |
| Rank: | M22 |
| ISSN: | 1560-3547 |
| DOI: | 10.1134/S156035471205005X |
| Abstract: | It is proven that the completely integrable general Kirchhoff case of the Kirchhoff equations for B ≠ 0 is not an algebraic complete integrable system. Similar analytic behavior of the general solution of the Chaplygin case is detected. Four-dimensional analogues of the Kirchhoff and the Chaplygin cases are defined on e(4) with the standard Lie-Poisson bracket. |
| Keywords: | algebraic integrable systems | Chaplygin case | Kirchhoff case | Kirchhoff equations |
| Publisher: | Springer Link |
| Project: | Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems Mathematical Physics Group of the University of Lisbon, Project Probabilistic approach to finite and infinite dimensional dynamical systems, PTDC/MAT/104173/2008 |
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