| Authors: | Dragović, Vladimir Radnović, Milena |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Minkowski plane, confocal conics, and billiards | Journal: | Publications de l'Institut Mathematique | Volume: | 94 | Issue: | 108 | First page: | 17 | Last page: | 30 | Issue Date: | 19-Dec-2013 | Rank: | M23 | ISSN: | 0350-1302 | DOI: | 10.2298/PIM1308017D | Abstract: | Geometry of confocal conics in the Minkowski plane and related billiard dynamics are studied in details. Periodic trajectories are described and several new examples are presented. Topological properties of the elliptical billiards are analyzed and the results are formulated in the terms of the Fomenko graphs. |
Keywords: | Confocal conics | Light-like billiard trajectories. | Minkowski plane | Periodic billiard trajectories | Poncelet theorem | Publisher: | Mathematical Institute of the SASA | Project: | Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems Mathematical Physics Group of the University of Lisbon (Project Probabilistic approach to finite and infinite dimensional dynamical systems, PTDC/MAT/104173/2008) |
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