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JOURNALS // Theoretical and Applied Mechanics // Archive

Theor. Appl. Mech., 2016 Volume 43, Issue 2, Pages 221–228 (Mi tam14)

This article is cited in 4 papers

Billiards in confocal quadrics as a pluri-Lagrangian system

Yuri B. Suris

Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

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.

MSC: 37J35, 70G75, 70H30

Received: 04.03.2016

Language: English

DOI: 10.2298/TAM160304008S



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