Outer Billiards Outside Regular Octagon: Periodicity of Almost All Orbits and an Existence of Periodic Orbit

PII

S086956520001635-1-1

DOI

Publication type

Article

Status

Published

Authors

Affiliation: Moscow Institute of Physics and Technology (State University)

Journal name

Edition

Pages

243-246

Abstract

Keywords

Received

14.10.2018

Publication date

16.10.2018

Number of characters

222

Cite Download pdf To download PDF you should sign in

GOST	Rukhovich F. Outer Billiards Outside Regular Octagon: Periodicity of Almost All Orbits and an Existence of Periodic Orbit // Doklady Akademii nauk – 2018. – V. 481. – Issue 3 C. 243-246 [Electronic resource]. URL: http://ras.jes.su/dan/s207987840000868-3-1-en (circulation date: 29.04.2024). DOI: 10.31857/S086956520001370-0
MLA	Rukhovich, Filipp "Outer Billiards Outside Regular Octagon: Periodicity of Almost All Orbits and an Existence of Periodic Orbit." Doklady Akademii nauk 481.3 (2018):243-246. DOI: 10.31857/S086956520001370-0
APA	Rukhovich F. (2018). Outer Billiards Outside Regular Octagon: Periodicity of Almost All Orbits and an Existence of Periodic Orbit. Doklady Akademii nauk 481(3), pp.243-246 DOI: 10.31857/S086956520001370-0

Размещенный ниже текст является ознакомительной версией и может не соответствовать печатной

Readers community rating: votes 0

1. Tabachnikov S. Vneshnie billiardy. — Uspekhi matematicheskikh nauk, t.48, vyp. 6(294), str.75-102.

2. Moser J. Is the solar system stable? — Math. Intell., 1(1978), pp.65-71.

3. R. E. Schwartz. Outer billiards on kites. — Annals of Mathematics Studies, 171. — Princeton University Press, Princeton, NJ, 2009.

4. D. Dolgopyat, V. Fayad. Unbounded orbits for semicircular outer billiard. — Ann. Henri Poincare, 10, pp.357-375, 2009.

5. N. Bedaride, J. Cassaigne. Outer billiards outside regular regular polygons. — Journal of the London Mathematical Society, 2011.

6. S. Tabachnikov. Geometry and Billiards. — Student Mathematical Library, 30 (2005). American Mathematical Society, Providence, RI.

7. S. Tabachnikov. On the dual billiard problem. — Adv. Math, 115(2), pp.221-249, 1995.

8. N. Bedaride, J. Cassaigne. Outer billiards outside regular regular polygons. — eprint arXiv:0912.0563, 2011.

9. R. E. Schwartz. Outer Billiards, Arithmetic Graph and the Octagon. — eprint arXiv:1006.2782, 2010.

10. R. E. Schwartz. The octagonal PETs. — Mathematical Surveys and Monographs, 197 (2014), American Mathematical Society, Providence, RI.