Deformations of the Poisson brackets and the Kowalevski top
classification
🌊 nlin.SI
math.DS
keywords
kowalevskideformationspoissonassociatedbi-hamiltonianbracketsdeformationdescription
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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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