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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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Інститут математики НАН України
2012
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/148386 |
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irk-123456789-1483862019-02-19T01:28:40Z New Variables of Separation for the Steklov-Lyapunov System Tsiganov, A.V. 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. 2012 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| language |
English |
| 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. |
| format |
Article |
| author |
Tsiganov, A.V. |
| spellingShingle |
Tsiganov, A.V. New Variables of Separation for the Steklov-Lyapunov System Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Tsiganov, A.V. |
| author_sort |
Tsiganov, A.V. |
| title |
New Variables of Separation for the Steklov-Lyapunov System |
| title_short |
New Variables of Separation for the Steklov-Lyapunov System |
| title_full |
New Variables of Separation for the Steklov-Lyapunov System |
| title_fullStr |
New Variables of Separation for the Steklov-Lyapunov System |
| title_full_unstemmed |
New Variables of Separation for the Steklov-Lyapunov System |
| title_sort |
new variables of separation for the steklov-lyapunov system |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148386 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT tsiganovav newvariablesofseparationforthesteklovlyapunovsystem |
| first_indexed |
2023-05-20T17:30:26Z |
| last_indexed |
2023-05-20T17:30:26Z |
| _version_ |
1796153447769178112 |