On Chaotic Dynamics in Rational Polygonal Billiards

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2005
• Main Author: Kokshenev, V.B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209346
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Chaotic Dynamics in Rational Polygonal Billiards / V.B. Kokshenev // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 28 назв. — англ.

We discuss the interplay between the piece-line regular and vertex-angle singular boundary effects, related to integrability and chaotic features in rational polygonal billiards. The approach to the controversial issue of regular and irregular motion in polygons is taken within the alternative deter...