Authors: Dragović, Vladimir 
Radnović, Milena
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: A survey of the analytical description of periodic elliptical billiard trajectories
Journal: Journal of Mathematical Sciences
Volume: 135
Issue: 4
First page: 3244
Last page: 3255
Issue Date: 1-Jan-2006
ISSN: 1072-3374
DOI: 10.1007/s10958-006-0154-2
Abstract: 
The complete Poncelét theorem and its generalization related to billiard systems within several confocal quadrics in ℝ d is considered. Starting from algebro-geometric conditions for periodic elliptic billiard trajectories, obtaining explicit Cayley-type conditions is demonstrated.
Publisher: Springer Link
Project: Serbian Ministry of Science and Technology, Project 1643 – Geometry and Topology of Manifolds and Integrable Dynamical Systems

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