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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 015, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.015 (Mi sigma798) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On a Trivial Family of Noncommutative Integrable Systems

Andrey V. Tsiganov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (321 kB) Citations (4)
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DOI: https://doi.org/10.3842/SIGMA.2013.015
Abstract: 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.
Keywords: bi-Hamiltonian geometry; noncommutative integrable systems.
Received: October 17, 2012; in final form February 18, 2013; Published online February 22, 2013
Bibliographic databases:
Document Type: Article
MSC: 37J35; 53D17; 70H06
Language: English
Citation: Andrey V. Tsiganov, “On a Trivial Family of Noncommutative Integrable Systems”, SIGMA, 9 (2013), 015, 13 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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