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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