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Regular and Chaotic Dynamics, 2011, Volume 16, Issue 5, Pages 484–495
DOI: https://doi.org/10.1134/S1560354711050054 (Mi rcd464) 		 
This article is cited in 8 scientific papers (total in 8 papers)

New Examples of Systems of the Kowalevski Type

Vladimir Dragovićab, Katarina Kukićc

a Mathematical Physics Group, University of Lisbon, Av. Prof. Gama Pinto, 2, PT-1649-003 Lisboa, Portugal
b Mathematical Institute, Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11000 Belgrade, Serbia
c Faculty for Traffic and Transport Engineering, Vojvode Stepe 305, 11000 Belgrade, Serbia
Citations (8)
DOI: https://doi.org/10.1134/S1560354711050054
Abstract: A new examples of integrable dynamical systems are constructed. An integration procedure leading to genus two theta-functions is presented. It is based on a recent notion of discriminantly separable polynomials. They have appeared in a recent reconsideration of the celebrated Kowalevski top, and their role here is analogue to the situation with the classical Kowalevski integration procedure.
Keywords: integrable dynamical system, Kowalevski top, discriminantly separable polynomials, systems of the Kowalevski type, invariant measure.
Received: 16.06.2011
Accepted: 17.07.2011
Bibliographic databases:
Document Type: Article
MSC: 37J35, 34A34, 70E40, 70E17
Language: English
Citation: Vladimir Dragović, Katarina Kukić, “New Examples of Systems of the Kowalevski Type”, Regul. Chaotic Dyn., 16:5 (2011), 484–495
Citation in format AMSBIB
\Bibitem{DraKuk11}
\by Vladimir Dragovi\'c, Katarina Kuki\'c
\paper New Examples of Systems of the Kowalevski Type
\jour Regul. Chaotic Dyn.
\yr 2011
\vol 16
\issue 5
\pages 484--495
\mathnet{http://mi.mathnet.ru/rcd464}
\crossref{https://doi.org/10.1134/S1560354711050054}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2844859}
\zmath{https://zbmath.org/?q=an:1309.37052}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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