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New Variables of Separation for the Steklov-Lyapunov System

Vernadsky National Library of Ukraine

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Title New Variables of Separation for the Steklov-Lyapunov System
 
Creator Tsiganov, A.V.
 
Description 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 gyrostatic deformation.
 
Date 2019-02-18T11:19:48Z
2019-02-18T11:19:48Z
2012
 
Type Article
 
Identifier 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.
1815-0659
2010 Mathematics Subject Classification: 70H20; 70H06; 37K10
DOI: http://dx.doi.org/10.3842/SIGMA.2012.012
http://dspace.nbuv.gov.ua/handle/123456789/148386
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України