Non-periodic and not everywhere dense billiard trajectories in convex polygons and polyhedrons

DOI10.1007/BF01211158zbMath0529.70001MaRDI QIDQ787695

G. A. Galperin

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

differential topologyabsolutely elastic ballsbilliard trajectories in convex polygons and polyhedronsrational polygonsset of trajectories neither periodic nor everywhere dense

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Immersions in differential topology (57R42) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (11)

Local instability of orbits in polygonal and polyhedral billiards ⋮ Schrödinger equation for convex plane polygons: A tiling method for the derivation of eigenvalues and eigenfunctions ⋮ The Dynamics of Quadrilateral Folding ⋮ On the mathematical transport theory in microporous media: the billiard approach ⋮ Anomalous dynamics in symmetric triangular irrational billiards ⋮ Negative refraction and tiling billiards ⋮ Billiards in polygons ⋮ Periodic billiard orbits in right triangles. ⋮ Hearing the shape of right triangle billiard tables ⋮ Polyhedral billiards, eigenfunction concentration and almost periodic control ⋮ Galperin's triangle example

Cites Work

• Billiards in polygons
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