| 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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