| Authors: | Dragović, Vladimir Radnović, Milena |
Affiliations: | Mechanics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | Billiards Within Ellipsoids in the 4-Dimensional Pseudo-Euclidean Spaces | Journal: | Regular and Chaotic Dynamics | Volume: | 28 | Issue: | 1 | First page: | 14 | Last page: | 43 | Issue Date: | 1-Jan-2023 | Rank: | ~M22 | ISSN: | 1560-3547 | DOI: | 10.1134/S1560354723010033 | Abstract: | We study billiard systems within an ellipsoid in the 4-dimensional pseudo-Euclidean spaces. We provide an analysis and description of periodic and weak periodic trajectories in algebro-geometric and functional-polynomial terms. |
Keywords: | caustics | confocal families of quadrics | ellipsoidal billiards | extremal polynomials | periodic trajectories | Poncelet porism | Publisher: | Springer Link |
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