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Regular and Chaotic Dynamics, 1998, Volume 3, Issue 3, Pages 18–31
DOI: https://doi.org/10.1070/RD1998v003n03ABEH000077 (Mi rcd945) 		 
This article is cited in 18 scientific papers (total in 18 papers)

On the 70th birthday of J.Moser

Action variables of the Kovalevskaya top

H. R. Dullina, P. H. Richterb, A. P. Veselovcd

a Department of Applied Mathematics, University of Colorado, Boulder
b Institut für Theoretisclie Physik, Universität Bremen
c Landau Institute for Theoretical Physics. Moscow, Russia
d Department of Mathematical Sciences, Loughborough University, UK
Citations (18)
DOI: https://doi.org/10.1070/RD1998v003n03ABEH000077
Abstract: An explicit formula for the action variables of the Kovalevskaya top as Abelian integrals of the third kind on the Kovalevskaya curve is found. The linear system of differential equations of Picard–Fuchs type, describing the dependence of these variables on the integrals of the Kovalevskaya system, is presented in explicit form. The results are based on the formula for the actions derived by S.P. Novikov and A.P. Veselov within the theory of algebro-geometric Poisson brackets on the universal bundle of hyperelliptic Jacobians.
Received: 16.06.1998
Bibliographic databases:
Document Type: Article
MSC: 34A05, 58F07
Language: English
Citation: H. R. Dullin, P. H. Richter, A. P. Veselov, “Action variables of the Kovalevskaya top”, Regul. Chaotic Dyn., 3:3 (1998), 18–31
Citation in format AMSBIB
\Bibitem{DulRicVes98}
\by H. R. Dullin, P. H. Richter, A. P. Veselov
\paper Action variables of the Kovalevskaya top
\jour Regul. Chaotic Dyn.
\yr 1998
\vol 3
\issue 3
\pages 18--31
\mathnet{http://mi.mathnet.ru/rcd945}
\crossref{https://doi.org/10.1070/RD1998v003n03ABEH000077}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1704966}
\zmath{https://zbmath.org/?q=an:0952.37044}
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