Heteroclinic cycle
id:
heteroclinic-cycle-201-253335
title:
Heteroclinic cycle
text:
In mathematics, a heteroclinic cycle is an invariant set in the phase space of a dynamical system. It is a topological circle of equilibrium points and connecting heteroclinic orbits. If a heteroclinic cycle is asymptotically stable, approaching trajectories spend longer and longer periods of time in a neighbourhood of successive equilibria. In generic dynamical systems heteroclinic connections are of high co-dimension, that is, they will not persist if parameters are varied.
brand slug:
wiki
category slug:
encyclopedia
description:
Invariant set in the phase space of a dynamical system
original url:
https://en.wikipedia.org/wiki/Heteroclinic_cycle
date created:
date modified:
2022-09-22T15:56:49Z
main entity:
{"identifier":"Q16948232","url":"https://www.wikidata.org/entity/Q16948232"}
image:
fields total:
13
integrity:
14