arXiv Open Access 2018

Outer billiards outside regular decagon: periodicity of almost all orbits and existence of an aperiodic point

Filipp Rukhovich

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.DS

Penulis (1)

Filipp Rukhovich

Format Sitasi

APA MLA BibTeX

Rukhovich, F. (2018). Outer billiards outside regular decagon: periodicity of almost all orbits and existence of an aperiodic point. https://arxiv.org/abs/1812.01433

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓