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Regular and Chaotic Dynamics, 2011, Volume 16, Issue 3-4, Pages 396–414
DOI: https://doi.org/10.1134/S1560354711030117 (Mi rcd444) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Integrable Systems on the Sphere Associated with Genus Three Algebraic Curves

Andrey V. Tsiganov, Vitaly A. Khudobakhshov

St.Petersburg State University, St.Petersburg, Russia
Citations (6)
DOI: https://doi.org/10.1134/S1560354711030117
Abstract: New variables of separation for few integrable systems on the two-dimensional sphere with higher order integrals of motion are considered in detail. We explicitly describe canonical transformations of initial physical variables to the variables of separation and vice versa, calculate the corresponding quadratures and discuss some possible integrable deformations of initial systems.
Keywords: integrable systems, separation of variables, Abel equations.
Received: 14.03.2011
Accepted: 20.04.2011
Bibliographic databases:
Document Type: Article
MSC: 70H20; 70H06; 37K10
Language: English
Citation: Andrey V. Tsiganov, Vitaly A. Khudobakhshov, “Integrable Systems on the Sphere Associated with Genus Three Algebraic Curves”, Regul. Chaotic Dyn., 16:3-4 (2011), 396–414
Citation in format AMSBIB
\Bibitem{TsiKhu11}
\by Andrey V. Tsiganov, Vitaly A. Khudobakhshov
\paper Integrable Systems on the Sphere Associated with Genus Three Algebraic Curves
\jour Regul. Chaotic Dyn.
\yr 2011
\vol 16
\issue 3-4
\pages 396--414
\mathnet{http://mi.mathnet.ru/rcd444}
\crossref{https://doi.org/10.1134/S1560354711030117}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2810986}
\zmath{https://zbmath.org/?q=an:1252.70041}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011RCD....16..396T}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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