globally attracting fixed point

An attracting fixed point is considered globally attracting if its stable manifold is the entire space. Equivalently, the fixed point $x^{*}$ is globally attracting if for all $x$, $x(t)\to x^{*}$ as $t\to \mathrm{\infty }$.

Title	globally attracting fixed point
Canonical name	GloballyAttractingFixedPoint
Date of creation	2013-03-22 13:06:27
Last modified on	2013-03-22 13:06:27
Owner	mathcam (2727)
Last modified by	mathcam (2727)
Numerical id	7
Author	mathcam (2727)
Entry type	Definition
Classification	msc 37C10
Related topic	AttractingFixedPoint