Introducing projective billiards

1997/08/01 by SERGE TABACHNIKOV · 3 citations

paper · doi:10.1017/s0143385797086239

Abstract

We introduce and study a new class of dynamical systems, the projective billiards, associated with a smooth closed convex plane curve equipped with a smooth field of transverse directions. Projective billiards include the usual billiards along with the dual, or outer, billiards.

Cited by

• Another billiard problem
• On complex algebraic caustics in planar and projective billiards
• Non-integrability of n-centre billiards

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