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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 433, Pages 224–245 (Mi znsl6135)  
This article is cited in 21 scientific papers (total in 21 papers)

Degenerately integrable systems

N. Reshetikhinabc

a ITMO University, Kronverkskii ave. 49, Saint Petersburg 197101, Russia
b Department of Mathematics, University of California, Berkeley, CA 94720, USA
c KdV Institute for Mathematics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
Full-text PDF (267 kB) Citations (21)
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Abstract: This is a short survey of degenerate integrability is Hamiltonian mechanics. The first section contains a short description of degenerately integrable systems. It is followed by a number of examples which include spin Calogero model, Casimir models, integrable models on symplectic leaves of Poisson Lie groups and some others. Bibliography: 27 titles.
Key words and phrases: integrable systems.
Received: 13.04.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 213, Issue 5, Pages 769–785
DOI: https://doi.org/10.1007/s10958-016-2738-9
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: N. Reshetikhin, “Degenerately integrable systems”, Questions of quantum field theory and statistical physics. Part 23, Zap. Nauchn. Sem. POMI, 433, POMI, St. Petersburg, 2015, 224–245; J. Math. Sci. (N. Y.), 213:5 (2016), 769–785
Citation in format AMSBIB
\Bibitem{Res15}
\by N.~Reshetikhin
\paper Degenerately integrable systems
\inbook Questions of quantum field theory and statistical physics. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 433
\pages 224--245
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6135}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3493688}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 213
\issue 5
\pages 769--785
\crossref{https://doi.org/10.1007/s10958-016-2738-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84957593421}
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  • https://www.mathnet.ru/eng/znsl/v433/p224
    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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