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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Дата:2013
Автор: Tsiganov, A.V.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2013
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/149221
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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
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spelling irk-123456789-1492212019-02-20T01:28:32Z On a Trivial Family of Noncommutative Integrable Systems Tsiganov, A.V. 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. 2013 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149221 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Tsiganov, A.V.
spellingShingle Tsiganov, A.V.
On a Trivial Family of Noncommutative Integrable Systems
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Tsiganov, A.V.
author_sort Tsiganov, A.V.
title On a Trivial Family of Noncommutative Integrable Systems
title_short 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_sort on a trivial family of noncommutative integrable systems
publisher Інститут математики НАН України
publishDate 2013
url http://dspace.nbuv.gov.ua/handle/123456789/149221
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.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT tsiganovav onatrivialfamilyofnoncommutativeintegrablesystems
first_indexed 2023-05-20T17:32:16Z
last_indexed 2023-05-20T17:32:16Z
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