New Variables of Separation for the Steklov-Lyapunov System
Autor: | Andrey V. Tsiganov |
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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. |
Databáze: | Directory of Open Access Journals |
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