Deformations of the Poisson brackets and the Kowalevski top

2013/10/30 by Yu. A. Grigor’ev, Yu. A. Grigorev, Grigorev, Yu. A. +2
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Waves and Solitons #math.DS #nlin.SI

paper · pdf · doi:10.48550/arxiv.1310.8032

12 pages, LaTeX with AMS fonts and xy-diagrams

openalex publication_date 2013/10/30 · arxiv created 2014/01/18 · arxiv updated 2014/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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