Garcia, Ronaldo and Reznik, Dan (2022) Exploring self-intersected N-periodics in the elliptic billiard. Annales Mathematicae et Informaticae, 55. pp. 49-75. ISSN 1787-6117
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Official URL: http://doi.org/10.33039/ami.2022.02.001
Abstract
This is a continuation of our simulation-based investigation of N-periodic trajectories in the elliptic billiard. With a special focus on self-intersected trajectories we (i) describe new properties of N = 4 family, (ii) derive expressions for quantities recently shown to be conserved, and to support further experimentation, we (iii) derive explicit expressions for vertices and caustic semi-axes for several families. Finally, (iv) we include links to several animations of the phenomena.
| Item Type: | Article |
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| Uncontrolled Keywords: | Invariant, elliptic, billiard, turning number, self-intersected |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Tibor Gál |
| Date Deposited: | 21 Dec 2022 13:07 |
| Last Modified: | 21 Dec 2022 13:07 |
| URI: | http://real.mtak.hu/id/eprint/155442 |
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