Garcia, Ronaldo, Reznik, Dan (2022) Exploring self-intersected N-periodics in the elliptic billiard Annales Mathematicae et Informaticae. 55. pp. 49-75. ISSN 1787-6117 (Online)
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Hivatalos webcím (URL): https://doi.org/10.33039/ami.2022.02.001
Absztrakt (kivonat)
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.
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| Megjegyzés: | Published online: February 22, 2022 ----- ∗Supported by PRONEX/CNPq/FAPEG 2017-10-26-7000-508. | ||||||||||||
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| Kulcsszavak: | Invariant, elliptic, billiard, turning number, self-intersected | ||||||||||||
| Nyelv: | angol | ||||||||||||
| Kötetszám: | 55. | ||||||||||||
| DOI azonosító: | 10.33039/ami.2022.02.001 | ||||||||||||
| ISSN: | 1787-6117 (Online) | ||||||||||||
| Felhasználó: | Tibor Gál | ||||||||||||
| Dátum: | 22 Feb 2022 14:17 | ||||||||||||
| Utolsó módosítás: | 21 Dec 2022 11:33 | ||||||||||||
| URI: | http://publikacio.uni-eszterhazy.hu/id/eprint/7297 |
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