Geodesic
On an integrable deformation of the Kowalevski top
Russian journal of nonlinear dynamics, Tome 10 (2014) no. 2, pp. 223-236

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We discuss an application of the Poisson brackets deformation theory to the construction of the integrable perturbations of the given integrable systems. The main examples are the known integrable perturbations of the Kowalevski top for which we get new bi-Hamiltonian structures in the framework of the deformation theory.
Keywords: Poisson geometry, Kowalevski top. 
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     title = {On an integrable deformation of the {Kowalevski} top},
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Alexander V. Vershilov; Yury A. Grigoryev; Andrey V. Tsiganov. On an integrable deformation of the Kowalevski top. Russian journal of nonlinear dynamics, Tome 10 (2014) no. 2, pp. 223-236. http://geodesic.mathdoc.fr/item/ND_2014_10_2_a8/