Geodesic
Billiards in confocal quadrics as a pluri-Lagrangian system
Theoretical and applied mechanics, Tome 43 (2016) no. 2, p. 221 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We illustrate the theory of one-dimensional pluri-Lagrangian systems with the example of commuting billiard maps in confocal quadrics.
DOI : 10.2298/TAM160304008S
Classification : 37J35, 70G75, 70H30
Keywords: confocal quadrics, billiard, integrable systems, variational principles, integrals of motion, commuting flows 
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     author = {Yuri B. Suris},
     title = {Billiards in confocal quadrics as a {pluri-Lagrangian} system},
     journal = {Theoretical and applied mechanics},
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     year = {2016},
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     doi = {10.2298/TAM160304008S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM160304008S/}
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Yuri B. Suris. Billiards in confocal quadrics as a pluri-Lagrangian system. Theoretical and applied mechanics, Tome 43 (2016) no. 2, p. 221 . doi: 10.2298/TAM160304008S

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