| 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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