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Regular and Chaotic Dynamics, 2008, Volume 13, Issue 6, Pages 572–587
DOI: https://doi.org/10.1134/S1560354708060075
(Mi rcd602)
 

This article is cited in 2 scientific papers (total in 2 papers)

JÜRGEN MOSER – 80

Reduction and realization in Toda and Volterra

P. A. Damianou

Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus
Citations (2)
Abstract: We construct a new symplectic, bi-Hamiltonian realization of the KM-system by reducing the corresponding one for the Toda lattice. The bi-Hamiltonian pair is constructed using a reduction theorem of Fernandes and Vanhaecke. In this paper we also review the important work of Moser on the Toda and KM-systems.
Keywords: Toda lattice, bi-Hamiltonian systems.
Received: 13.07.2008
Accepted: 08.09.2008
Bibliographic databases:
Document Type: Personalia
MSC: 37J35, 53D17
Language: English
Citation: P. A. Damianou, “Reduction and realization in Toda and Volterra”, Regul. Chaotic Dyn., 13:6 (2008), 572–587
Citation in format AMSBIB
\Bibitem{Dam08}
\by P.~A.~Damianou
\paper Reduction and realization in Toda and Volterra
\jour Regul. Chaotic Dyn.
\yr 2008
\vol 13
\issue 6
\pages 572--587
\mathnet{http://mi.mathnet.ru/rcd602}
\crossref{https://doi.org/10.1134/S1560354708060075}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2465725}
\zmath{https://zbmath.org/?q=an:1229.37061}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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