| Authors: | Gajić, Borislav | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On integrability of Kirchhoff and Chaplygin cases of Kirchhoff equations | Conference: | XVII Geometric Seminar, Zlatibor, 2-8. September 2012 | Issue Date: | 2012 | Rank: | M30 | 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. |
Description: | Invited lecture |
Keywords: | Kirchhoff equations | Kirchhoff case | Chaplygin case | algebraic integrable systems | Project: | Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems Probabilistic approach to finite and infinite dimensional dynamical systems |
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