Horseshoe map
id:
horseshoe-map-267-3181634
title:
Horseshoe map
text:
In the mathematics of chaos theory, a horseshoe map is any member of a class of chaotic maps of the square into itself. It is a core example in the study of dynamical systems. The map was introduced by Stephen Smale while studying the behavior of the orbits of the van der Pol oscillator. The action of the map is defined geometrically by squishing the square, then stretching the result into a long strip, and finally folding the strip into the shape of a horseshoe. Most points eventually leave the
brand slug:
wiki
category slug:
encyclopedia
description:
Class of chaotic maps
original url:
https://en.wikipedia.org/wiki/Horseshoe_map
date created:
date modified:
2023-12-11T16:56:33Z
main entity:
{"identifier":"Q557781","url":"https://www.wikidata.org/entity/Q557781"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/4/4a/Smale_Horseshoe_Map.svg","width":2599,"height":1240}
fields total:
13
integrity:
15