Geodesic
On the KAM - Theory Conditions for the Kirchhoff Top
Serdica Mathematical Journal, Tome 23 (1997) no. 2, pp. 113-124

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In this paper the classical Kirchhoff case of motion of a rigid body in an infinite ideal fluid is considered. Then for the corresponding Hamiltonian system on the zero integral level, the KAM theory conditions are checked. In contrast to the known similar results, there exists a curve in the bifurcation diagram along which the Kolmogorov’s condition vanishes for certain values of the parameters.
Keywords: KAM-Theory, Kirchhoff Top, Abelian Integrals 
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     author = {Christov, Ognyan},
     title = {On the {KAM} - {Theory} {Conditions} for the {Kirchhoff} {Top}},
     journal = {Serdica Mathematical Journal},
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     year = {1997},
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     url = {http://geodesic.mathdoc.fr/item/SMJ2_1997_23_2_a2/}
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Christov, Ognyan. On the KAM - Theory Conditions for the Kirchhoff Top. Serdica Mathematical Journal, Tome 23 (1997) no. 2, pp. 113-124. http://geodesic.mathdoc.fr/item/SMJ2_1997_23_2_a2/