Outer Billiards outside a Regular Octagon: Periodicity of Almost All Orbits and Existence of an Aperiodic Orbit
- Авторлар: Rukhovich F.D.1
-
Мекемелер:
- Moscow Institute of Physics and Technology (State University)
- Шығарылым: Том 98, № 1 (2018)
- Беттер: 334-337
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225527
- DOI: https://doi.org/10.1134/S1064562418050101
- ID: 225527
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
F. Rukhovich
Moscow Institute of Physics and Technology (State University)
Хат алмасуға жауапты Автор.
Email: dprpavlin@gmail.com
Ресей, Dolgoprudnyi, Moscow oblast, 141700
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