# 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 |
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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 |