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    On an integrable deformation of the Kowalevski top

    2014, Vol. 10, No. 2, pp.  223-236

    Author(s): Vershilov A. V., Grigoryev Y. A., Tsiganov A. V.

    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
    Citation: Vershilov A. V., Grigoryev Y. A., Tsiganov A. V., On an integrable deformation of the Kowalevski top, Rus. J. Nonlin. Dyn., 2014, Vol. 10, No. 2, pp.  223-236
    DOI:10.20537/nd1402009


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