Introducing projective billiards

Serge Tabachnikov

doi:10.1017/S0143385797086239

Introducing projective billiards

Serge Tabachnikov

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	English (US)
Pages (from-to)	957-976
Number of pages	20
Journal	Ergodic Theory and Dynamical Systems
Volume	17
Issue number	4
DOIs	https://doi.org/10.1017/S0143385797086239
State	Published - Aug 1997

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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title = "Introducing projective billiards",

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.",

author = "Serge Tabachnikov",

year = "1997",

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JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

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Introducing projective billiards

Abstract

All Science Journal Classification (ASJC) codes

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