# 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 $t\to\infty$.

Title globally attracting fixed point GloballyAttractingFixedPoint 2013-03-22 13:06:27 2013-03-22 13:06:27 mathcam (2727) mathcam (2727) 7 mathcam (2727) Definition msc 37C10 AttractingFixedPoint