This article is cited in 4 papers

On an integrable deformation of the Kowalevski top

Alexander V. Vershilov, Yury A. Grigoryev, Andrey V. Tsiganov

Saint-Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia

Abstract: 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.

UDC: 523.5

MSC: 70H20, 37K10

Received: 04.06.2014
Revised: 20.06.2014