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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 2, Pages 162–184
DOI: https://doi.org/10.1134/S1560354714020026 (Mi rcd108) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Systems of Kowalevski Type and Discriminantly Separable Polynomials

Vladimir Dragovićab, Katarina Kukićc

a Mathematical Institute SANU, Kneza Mihaila 36, 11000 Belgrade, Serbia
b The Department of Mathematical Sciences, University of Texas at Dallas, 800 West Campbell Road, Richardson TX 75080, USA
c Faculty for Traffic and Transport Engineering, University of Belgrade, Vojvode Stepe 305, 11000 Belgrade, Serbia
Citations (13)
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DOI: https://doi.org/10.1134/S1560354714020026
Abstract: Starting from the notion of discriminantly separable polynomials of degree two in each of three variables, we construct a class of integrable dynamical systems. These systems can be integrated explicitly in genus two theta-functions in a procedure which is similar to the classical one for the Kowalevski top. The discriminantly separable polynomials play the role of the Kowalevski fundamental equation. Natural examples include the Sokolov systems and the Jurdjevic elasticae.
Keywords: integrable systems, Kowalevski top, discriminantly separable polynomials, systems of Kowalevski type.
Funding agency Grant number
Serbian Ministry of Science and Technological Development 174020
The research was partially supported by the Serbian Ministry of Science and Technological Development, Project 174020 Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems.
Received: 30.08.2013
Accepted: 09.11.2013
Bibliographic databases:
Document Type: Article
MSC: 37J35, 37K60, 70E17, 70E40, 39A10
Language: English
Citation: Vladimir Dragović, Katarina Kukić, “Systems of Kowalevski Type and Discriminantly Separable Polynomials”, Regul. Chaotic Dyn., 19:2 (2014), 162–184
Citation in format AMSBIB
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\by Vladimir~Dragovi\'c, Katarina~Kuki{\'c}
\paper Systems of Kowalevski Type and Discriminantly Separable Polynomials
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 2
\pages 162--184
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  • https://www.mathnet.ru/eng/rcd/v19/i2/p162
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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