Dual billiards
From MaRDI portal
Publication:2577171
DOI10.1007/BF02985854zbMath1088.37014MaRDI QIDQ2577171
Filiz Dogru, Sergei Tabachnikov
Publication date: 19 December 2005
Published in: The Mathematical Intelligencer (Search for Journal in Brave)
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Cites Work
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- Global stability of a class of discontinuous dual billiards
- Fagnano orbits of polygonal dual billiards
- Dual polygonal billiards and necklace dynamics
- Poncelet's theorem and dual billiards
- Commuting dual billiard maps
- Billiard dynamics: a survey with the emphasis on open problems
- On polygonal dual billiard in the hyperbolic plane
- On three-periodic trajectories of multi-dimensional dual billiards
- Asymptotic dynamics of the dual billiard transformation.
- Dynamics of kaleidoscopic maps
- Caustics for inner and outer billiards
- On the dual billiard problem
- Dynamics of non-ergodic piecewise affine maps of the torus
- Dual billiards in the hyperbolic plane*
- Stable and Random Motions in Dynamical Systems
- Dual billiards, twist maps and impact oscillators
- How Things Float
- A dichotomy for a two-parameter piecewise rotation
- Rotations by /7
- Quadratic rational rotations of the torus and dual lattice maps
- Recursive tiling and geometry of piecewise rotations by /7
- Freund-Witten adelic formulae for Veneziano and Virasoro-Shapiro amplitudes
- Polygons Circumscribed About Closed Convex Curves
