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.
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Dragović, V., Gajić, B. On the cases of Kirchhoff and Chaplygin of the Kirchhoff equations. Regul. Chaot. Dyn. 17, 431–438 (2012). https://doi.org/10.1134/S156035471205005X
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DOI: https://doi.org/10.1134/S156035471205005X