If X is a topological spaceMathworldPlanetmath and f is a flow on X or an homeomorphismPlanetmathPlanetmath mapping X to itself, we say that xX is an homoclinic point (or homoclinic intersection) if it belongs to both the stable and unstable sets of some fixed or periodic point p; i.e.


The orbit of an homoclinic point is called an homoclinic orbit.

Title homoclinic
Canonical name Homoclinic
Date of creation 2013-03-22 13:48:35
Last modified on 2013-03-22 13:48:35
Owner Koro (127)
Last modified by Koro (127)
Numerical id 5
Author Koro (127)
Entry type Definition
Classification msc 37C29