Irrational rotation
id:
irrational-rotation-276-7784464
title:
Irrational rotation
text:
In the mathematical theory of dynamical systems, an irrational rotation is a map where θ is an irrational number. Under the identification of a circle with R/Z, or with the interval [0, 1] with the boundary points glued together, this map becomes a rotation of a circle by a proportion θ of a full revolution. Since θ is irrational, the rotation has infinite order in the circle group and the map Tθ has no periodic orbits. Alternatively, we can use multiplicative notation for an irrational rotation
brand slug:
wiki
category slug:
encyclopedia
description:
Rotation of a circle by an angle of π times an irrational number
original url:
https://en.wikipedia.org/wiki/Irrational_rotation
date created:
date modified:
2024-03-11T05:48:53Z
main entity:
{"identifier":"Q6073537","url":"https://www.wikidata.org/entity/Q6073537"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/6/61/Sturmian-sequence-from-irrational-rotation.gif","width":324,"height":320}
fields total:
13
integrity:
15