We study the orbits of the dual billiard map about a polygonal table using the technique of necklace dynamics. Our main result is that for a certain class of tables, called the quasi-rational polygons, the dual billiard orbits are bounded. This implies that for the subset of rational tables (i.e. polygons with rational vertices) the dual billiard orbits are periodic. © 1992 Springer-Verlag.
CITATION STYLE
Gutkin, E., & Simanyi, N. (1992). Dual polygonal billiards and necklace dynamics. Communications in Mathematical Physics, 143(3), 431–449. https://doi.org/10.1007/BF02099259
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