Degenerate billiards | Vidéo | Carmin.tv

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Degenerate billiards

By Sergei Bolotin

Appears in collection : Differential Geometry, Billiards, and Geometric Optics / Géométrie différentielle, billards et optique géométrique

In an ordinary billiard trajectories of a Hamiltonian system are reflected after a collision with a hypersurface (scatterer). If the scatterer has codimension more than one, we say that the billiard is degenerate. Degenerate billiards appear e.g. as limits of systems with singularities in celestial mechanics. We discuss the existence of trajectories of such systems shadowing trajectories of a degenerate billiard.

Information about the video

Date of recording 07/10/2021
Date of publication 15/11/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19819903
Cite this video Bolotin, Sergei (07/10/2021). Degenerate billiards. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19819903
URL https://dx.doi.org/10.24350/CIRM.V.19819903

Domain(s)

Bibliography

BOLOTIN, Sergey V. Degenerate billiards. Proceedings of the Steklov Institute of Mathematics, 2016, vol. 295, no 1, p. 45-62. - https://doi.org/10.1134/S0081543816080046
BOLOTIN, Sergey V. Degenerate billiards in celestial mechanics. Regular and Chaotic Dynamics, 2017, vol. 22, no 1, p. 27-53. - https://arxiv.org/abs/1612.08907

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