A survey of the analytical description of periodic elliptical billiard trajectories

DOI10.1007/s10958-006-0154-2zbMath1244.37023OpenAlexW1994011792MaRDI QIDQ443184

Vladimir Dragović, Milena Radnović

Publication date: 6 August 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-006-0154-2

Mathematics Subject Classification ID

Related Items

Bicentennial of the Great Poncelet Theorem (1813–2013): Current advances ⋮ Ellipsoidal billiards in pseudo-Euclidean spaces and relativistic quadrics ⋮ Pseudo-integrable billiards and arithmetic dynamics

Cites Work

• Unnamed Item
• Geodesics on the ellipsoid
• A Poncelet theorem in space
• On Cayley's explicit solution to Poncelet's porism
• Elliptical billiards and Poncelet’s theorem
• Billiard systems on quadric surfaces and the Poncelet theorem
• Elliptical billiard systems and the full Poncelet’s theorem in n dimensions
• Conditions of Cayley’s type for ellipsoidal billiard
• Cayley-type conditions for billiards withinkquadrics in
• On periodical trajectories of the billiard systems within an ellipsoid in Rd and generalized Cayley’s condition