New Variables of Separation for the Steklov-Lyapunov System

A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra e(3)=so(3)⋉R³. We present the bi-Hamiltonian structure and the corresponding variables of separation on this phase space for the Steklov-Lyapunov system and it's gyrosta...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2012
Main Author: Tsiganov, A.V.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/148386
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:New Variables of Separation for the Steklov-Lyapunov System / A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 27 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine