Introducing projective billiards

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)957-976
Number of pages20
JournalErgodic Theory and Dynamical Systems
Volume17
Issue number4
DOIs
StatePublished - Jan 1 1997

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Billiards
Dynamical systems
Convex Curve
Plane Curve
Transverse
Dynamical system
Closed

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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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 = "Sergei Tabachnikov",
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Introducing projective billiards. / Tabachnikov, Sergei.

In: Ergodic Theory and Dynamical Systems, Vol. 17, No. 4, 01.01.1997, p. 957-976.

Research output: Contribution to journalArticle

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