| 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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