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Regular and Chaotic Dynamics, 2009, Volume 14, Issue 4-5, Pages 541–549
DOI: https://doi.org/10.1134/S1560354709040108 (Mi rcd998) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Proceedings of GDIS 2008, Belgrade

Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion

A. V. Tsiganov

St. Petersburg State University, Petrodvorets, Ulyanovskaya str. 1, St. Petersburg 198504, Russia
Full-text PDF Citations (3)
DOI: https://doi.org/10.1134/S1560354709040108
Abstract: We discuss some special classes of canonical transformations of the time variable, which relate different integrable systems. Such dual systems have different integrals of motion, Lax equations, separated variables and bi-hamiltonian structures. As an example the two-dimensional periodic Toda lattices associated with the classical root systems and the dual natural systems on the palne are considered in detail.
Keywords: Toda lattices, change of time.
Received: 20.05.2009
Accepted: 26.06.2009
Bibliographic databases:
Document Type: Article
MSC: 70H20, 70H06, 37K10
Language: English
Citation: A. V. Tsiganov, “Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion”, Regul. Chaotic Dyn., 14:4-5 (2009), 541–549
Citation in format AMSBIB
\Bibitem{Tsi09}
\by A. V. Tsiganov
\paper Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion
\jour Regul. Chaotic Dyn.
\yr 2009
\vol 14
\issue 4-5
\pages 541--549
\mathnet{http://mi.mathnet.ru/rcd998}
\crossref{https://doi.org/10.1134/S1560354709040108}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2551876}
\zmath{https://zbmath.org/?q=an:1229.70062}
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  • https://www.mathnet.ru/eng/rcd/v14/i4/p541
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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