Homoclinic orbit
id:
homoclinic-orbit-279-4241458
title:
Homoclinic orbit
text:
In the study of dynamical systems, a homoclinic orbit is a path through phase space which joins a saddle equilibrium point to itself. More precisely, a homoclinic orbit lies in the intersection of the stable manifold and the unstable manifold of an equilibrium. It is a heteroclinic orbit–a path between any two equilibrium points–in which the endpoints are one and the same. Consider the continuous dynamical system described by the ordinary differential equation Suppose there is an equilibrium at
brand slug:
wiki
category slug:
encyclopedia
description:
Closed loop through a phase space
original url:
https://en.wikipedia.org/wiki/Homoclinic_orbit
date created:
date modified:
2023-05-22T21:42:40Z
main entity:
{"identifier":"Q690494","url":"https://www.wikidata.org/entity/Q690494"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/a/ab/Homoclinic.svg","width":162,"height":162}
fields total:
13
integrity:
15