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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2012 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2012
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148386 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862671745438187520 |
|---|---|
| author | Tsiganov, A.V. |
| author_facet | Tsiganov, A.V. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T15:34:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148386 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:34:03Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Tsiganov, A.V. 2019-02-18T11:19:48Z 2019-02-18T11:19:48Z 2012 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 https://nasplib.isofts.kiev.ua/handle/123456789/148386 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. The author is grateful to the referees for a number of helpful suggestions that resulted in improvement of the article. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications New Variables of Separation for the Steklov-Lyapunov System Article published earlier |
| spellingShingle | New Variables of Separation for the Steklov-Lyapunov System Tsiganov, A.V. |
| title | 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_short | New Variables of Separation for the Steklov-Lyapunov System |
| title_sort | new variables of separation for the steklov-lyapunov system |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148386 |
| work_keys_str_mv | AT tsiganovav newvariablesofseparationforthesteklovlyapunovsystem |