New Variables of Separation for the Steklov-Lyapunov System

Autor: Andrey V. Tsiganov
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Symmetry, Integrability and Geometry: Methods and Applications, Vol 8, p 012 (2012)
Druh dokumentu: article
ISSN: 1815-0659
DOI: 10.3842/SIGMA.2012.012
Popis: 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)⋉R^3. 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.
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