On polygonal dual billiard in the hyperbolic plane

F. Dogru; S. Tabachnikov

doi:10.1070/RD2003v008n0lABEH000226

On polygonal dual billiard in the hyperbolic plane

F. Dogru
, S. Tabachnikov

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

8 Scopus citations

Abstract

We study the polygonal dual billiard map in the hyperbolic plane. We show that for a class of convex polygons called large all orbits of the dual billiard map escape to infinity. We also analyse the dynamics of the dual billiard map when the dual billiard table is a regular polygon with all right angles.

Original language	English (US)
Pages (from-to)	67-81
Number of pages	15
Journal	Regular and Chaotic Dynamics
Volume	8
Issue number	1
DOIs	https://doi.org/10.1070/RD2003v008n0lABEH000226
State	Published - 2003

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1070/RD2003v008n0lABEH000226

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title = "On polygonal dual billiard in the hyperbolic plane",

abstract = "We study the polygonal dual billiard map in the hyperbolic plane. We show that for a class of convex polygons called large all orbits of the dual billiard map escape to infinity. We also analyse the dynamics of the dual billiard map when the dual billiard table is a regular polygon with all right angles.",

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AB - We study the polygonal dual billiard map in the hyperbolic plane. We show that for a class of convex polygons called large all orbits of the dual billiard map escape to infinity. We also analyse the dynamics of the dual billiard map when the dual billiard table is a regular polygon with all right angles.

UR - https://www.scopus.com/pages/publications/36048937499

UR - https://www.scopus.com/pages/publications/36048937499#tab=citedBy

U2 - 10.1070/RD2003v008n0lABEH000226

DO - 10.1070/RD2003v008n0lABEH000226

M3 - Article

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SN - 1560-3547

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SP - 67

EP - 81

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 1

ER -

On polygonal dual billiard in the hyperbolic plane

Abstract

All Science Journal Classification (ASJC) codes

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