On the motion of billiards in ellipses

DOI10.1007/s40879-021-00524-2OpenAlexW4207013994MaRDI QIDQ2095623

Hellmuth Stachel

Publication date: 17 November 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.03624

zbMATH Keywords

elliptic functionsbilliardconfocal conicsbilliard motion

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Differential geometric aspects in kinematics (53A17) Elliptic functions and integrals (33E05) Dynamical systems with singularities (billiards, etc.) (37C83)

Cites Work

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• Pseudo-integrable billiards and arithmetic dynamics
• More about areas and centers of Poncelet polygons
• Four equivalent properties of integrable billiards
• The geometry of billiards in ellipses and their Poncelet grids
• Billiards in ellipses revisited
• Dan Reznik's identities and more
• The billiard ball problem on a table with a convex boundary - An illustrative dynamical problem. I. The invariant integral
• Poncelet Porisms and Beyond
• The Universe of Conics
• Three Problems in Search of a Measure
• Ivory’s theorem revisited
• Isometric Billiards in Ellipses and Focal Billiards in Ellipsoids
• On a Discretization of Confocal Quadrics. A Geometric Approach to General Parametrizations
• Algebra of operators on the ring of polytopes and quasi-symmetric functions

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