Geodesic
Billiards in confocal quadrics as a pluri-Lagrangian system
Theoretical and applied mechanics, Tome 43 (2016) no. 2, p. 221 .

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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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     title = {Billiards in confocal quadrics as a {pluri-Lagrangian} system},
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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. http://geodesic.mathdoc.fr/articles/10.2298/TAM160304008S/

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