Unexpected Linearly Stable Orbits in $3$-Dimensional Billiards
| Autor: | Attarchi, Hassan |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physd.2022.133260 |
| Popis: | In this work, we construct linearly stable periodic orbits in $3$-dimensional domains with boundaries containing focusing components (small pieces of a sphere) where we place these components arbitrarily far apart. It demonstrates that we cannot directly implement the construction methods of planar billiards with focusing boundaries and chaotic properties into $3$-dimensional billiards. Comment: 10 pages, 3 figures |
| Databáze: | arXiv |
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