Geodesic
On One Approach to Investigation of Mechanical Systems
Symmetry, integrability and geometry: methods and applications, Tome 2 (2006) Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper presents some results of qualitative analysis of Kirchhoff's differential equations describing motion of a rigid body in ideal fluid in Sokolov's case. The research methods are based on Lyapunov's classical results. Methods of computer algebra implemented in the computer algebra system (CAS) “Mathematica” were also used. Combination of these methods allowed us to obtain rather detailed information on qualitative properties for some classes of solutions of the equations.
Keywords: rigid body mechanics; completely integrable systems; qualitative analysis; invariant manifolds; stability; bifurcations; computer algebra. 
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     author = {Valentin D. Irtegov and Tatyana N. Titorenko},
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Valentin D. Irtegov; Tatyana N. Titorenko. On One Approach to Investigation of Mechanical Systems. Symmetry, integrability and geometry: methods and applications, Tome 2 (2006). http://geodesic.mathdoc.fr/item/SIGMA_2006_2_a48/

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