Periodic billiard orbits in right triangles.

DOI10.5802/aif.2088zbMath1063.37022arXivmath/0405280OpenAlexW2964157635MaRDI QIDQ1774105

Serge E. Troubetzkoy

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405280

zbMATH Keywords

periodic orbitssymmetriesPolygonal billiard

Mathematics Subject Classification ID

Topological dynamics (37B99) Periodic orbits of vector fields and flows (37C27) Dynamical systems involving maps of the interval (37E05)

Related Items (5)

Periodic billiard paths in right triangles are unstable ⋮ On the mathematical transport theory in microporous media: the billiard approach ⋮ Billiard in a triangle and quadratic homogeneous foliations on \(\mathbb C^{2}\) ⋮ Hearing the shape of right triangle billiard tables ⋮ Computer-Assisted Methods for Analyzing Periodic Orbits in Vibrating Gravitational Billiards

Cites Work

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• Non-periodic and not everywhere dense billiard trajectories in convex polygons and polyhedrons
• Periodic billiard trajectories in right triangles and right-angled tetrahedra
• Billiards in polygons: Survey of recent results.
• Closed trajectories for quadratic differentials with an application to billiards
• Recurrence and periodic billiard orbits in polygons
• Periodic billiard orbits are dense in rational polygons
• Periodic billiard trajectories in polygons: generating mechanisms
• Billiards and Rational Periodic Directions in Polygons
• Billiards in polygons

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