Enviar artigo por via de e-mail Outer Billiards outside a Regular Octagon: Periodicity of Almost All Orbits and Existence of an Aperiodic Orbit
- Autores: Rukhovich F.D.1
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Afiliações:
- Moscow Institute of Physics and Technology (State University)
- Edição: Volume 98, Nº 1 (2018)
- Páginas: 334-337
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225527
- DOI: https://doi.org/10.1134/S1064562418050101
- ID: 225527
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Resumo
The existence of an aperiodic orbit for an outer billiard outside a regular octagon is proved. Additionally, almost all orbits of such an outer billiard are proved to be periodic. All possible periods are explicitly listed.
Sobre autores
F. Rukhovich
Moscow Institute of Physics and Technology (State University)
Autor responsável pela correspondência
Email: dprpavlin@gmail.com
Rússia, Dolgoprudnyi, Moscow oblast, 141700
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