Geodesic
The phase topology of a~special case of Goryachev integrability in rigid body dynamics
Sbornik. Mathematics, Tome 205 (2014) no. 7, pp. 1024-1044

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The phase topology of a special case of Goryachev integrability in the problem of motion of a rigid body in a fluid is investigated using the method of Boolean functions, which was developed by Kharlamov for algebraically separated systems. The bifurcation diagram of the moment map is found and the Fomenko invariant, which classifies the systems up to rough Liouville equivalence, is specified. Bibliography: 15 titles.
Keywords: Kirchhoff's equations, completely integrable Hamiltonian systems, algebraic separation of variables, bifurcation diagram
Mots-clés : bifurcations of Liouville tori. 
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     title = {The phase topology of a~special case of {Goryachev} integrability in rigid body dynamics},
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P. E. Ryabov. The phase topology of a~special case of Goryachev integrability in rigid body dynamics. Sbornik. Mathematics, Tome 205 (2014) no. 7, pp. 1024-1044. http://geodesic.mathdoc.fr/item/SM_2014_205_7_a5/