Dual polygonal billiards and necklace dynamics

Academic Article

Abstract

  • 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.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Gutkin E; Simanyi N
  • Start Page

  • 431
  • End Page

  • 449
  • Volume

  • 143
  • Issue

  • 3