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arXiv 2013-10-30 0 views

Deformations of the Poisson brackets and the Kowalevski top

Grigorev, Yu. A. · Tsiganov, A. V.

Original · EN

Deformations of the known polynomial Poisson pencils associated with the Kowalevski top are studied. As a result we find new variables of separation from the one of the Yehia systems and new bi-Hamiltonian description of the integrable deformation of the Kowalevski gyrostat in two fields proposed by Sokolov and Tsiganov.

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