Deformations of the Poisson brackets and the Kowalevski top
Exactly Solvable and Integrable Systems
2014-01-21 v2 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1310.8032,
title = {Deformations of the Poisson brackets and the Kowalevski top},
author = {Yu. A. Grigorev and A. V. Tsiganov},
journal= {arXiv preprint arXiv:1310.8032},
year = {2014}
}
Comments
12 pages, LaTeX with AMS fonts and xy-diagrams