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Theoretical and Applied Mechanics, 2016, Volume 43, Issue 2, Pages 221–228
DOI: https://doi.org/10.2298/TAM160304008S (Mi tam14) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Billiards in confocal quadrics as a pluri-Lagrangian system

Yuri B. Suris

Institut für Mathematik, Technische Universität Berlin, Berlin, Germany
Full-text PDF (376 kB) Citations (5)
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DOI: https://doi.org/10.2298/TAM160304008S
Abstract: We illustrate the theory of one-dimensional pluri-Lagrangian systems with the example of commuting billiard maps in confocal quadrics.
Keywords: confocal quadrics, billiard, integrable systems, variational principles, integrals of motion, commuting flows.
Funding agency Grant number
Deutsche Forschungsgemeinschaft TRR 109
This research was supported by the DFG Collaborative Research Center TRR 109 “Discretization in Geometry and Dynamics”.
Received: 04.03.2016
Bibliographic databases:
Document Type: Article
MSC: 37J35, 70G75, 70H30
Language: English
Citation: Yuri B. Suris, “Billiards in confocal quadrics as a pluri-Lagrangian system”, Theor. Appl. Mech., 43:2 (2016), 221–228
Citation in format AMSBIB
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\by Yuri~B.~Suris
\paper Billiards in confocal quadrics as a pluri-Lagrangian system
\jour Theor. Appl. Mech.
\yr 2016
\vol 43
\issue 2
\pages 221--228
\mathnet{http://mi.mathnet.ru/tam14}
\crossref{https://doi.org/10.2298/TAM160304008S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391372600004}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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