Billiards in confocal quadrics as a pluri-Lagrangian system

Abstract

We illustrate the theory of one-dimensional pluri-Lagrangian systems with the example of commuting billiard maps in confocal quadrics.

7 pp

References in corpus (1)

• On 4-reflective complex analytic planar billiards

Cited by in corpus (4)

• Variational symmetries and pluri-Lagrangian systems in classical mechanics
• Gutkin billiard tables in higher dimensions and rigidity
• Mather $\beta$-function for ellipses and rigidity
• Heisenberg model in pseudo-Euclidean spaces II