The method of loop molecules and the topology of the Kovalevskaya top

A. V. Bolsinov   ; P. H. Richter   ; A. T. Fomenko

Sbornik. Mathematics, Tome 191 (2000) no. 2, pp. 151-188

Résumé

A method for calculating topological invariants of the foliation of a phase space into invariant Liouville tori in the case of integrable Hamiltonian systems with two degrees of freedom is put forward. The structure of this foliation is completely described for the Kovalevskaya integrable case in rigid body dynamics.

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