On a Trivial Family of Noncommutative Integrable Systems
We discuss trivial deformations of the canonical Poisson brackets associated with the Toda lattices, relativistic Toda lattices, Henon-Heiles, rational Calogero-Moser and Ruijsenaars-Schneider systems and apply one of these deformations to construct a new trivial family of noncommutative integrable...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149221 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On a Trivial Family of Noncommutative Integrable Systems / A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 35 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862669075302318080 |
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| author | Tsiganov, A.V. |
| author_facet | Tsiganov, A.V. |
| citation_txt | On a Trivial Family of Noncommutative Integrable Systems / A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 35 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We discuss trivial deformations of the canonical Poisson brackets associated with the Toda lattices, relativistic Toda lattices, Henon-Heiles, rational Calogero-Moser and Ruijsenaars-Schneider systems and apply one of these deformations to construct a new trivial family of noncommutative integrable systems.
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| first_indexed | 2025-12-07T15:27:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149221 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:27:03Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Tsiganov, A.V. 2019-02-19T18:59:30Z 2019-02-19T18:59:30Z 2013 On a Trivial Family of Noncommutative Integrable Systems / A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 35 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37J35; 53D17; 70H06 DOI: http://dx.doi.org/10.3842/SIGMA.2013.015 https://nasplib.isofts.kiev.ua/handle/123456789/149221 We discuss trivial deformations of the canonical Poisson brackets associated with the Toda lattices, relativistic Toda lattices, Henon-Heiles, rational Calogero-Moser and Ruijsenaars-Schneider systems and apply one of these deformations to construct a new trivial family of noncommutative integrable systems. We would like to thank E.G. Kalnins, W. Miller, Jr. and G. Rastelli for useful discussion on
 noncommutative integrable systems. The study was supported by the ministry of education
 and science of Russian Federation, project 07.09.2012 no. 8501, grant no. 2012-1.5-12-000-1003-
 016. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On a Trivial Family of Noncommutative Integrable Systems Article published earlier |
| spellingShingle | On a Trivial Family of Noncommutative Integrable Systems Tsiganov, A.V. |
| title | On a Trivial Family of Noncommutative Integrable Systems |
| title_full | On a Trivial Family of Noncommutative Integrable Systems |
| title_fullStr | On a Trivial Family of Noncommutative Integrable Systems |
| title_full_unstemmed | On a Trivial Family of Noncommutative Integrable Systems |
| title_short | On a Trivial Family of Noncommutative Integrable Systems |
| title_sort | on a trivial family of noncommutative integrable systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149221 |
| work_keys_str_mv | AT tsiganovav onatrivialfamilyofnoncommutativeintegrablesystems |