# heteroclinic

Let $f$ be an homeomorphism^{} mapping a topological space^{} $X$ to itself or a flow on $X$. An heteroclinic point, or heteroclinic intersection, is a point that belongs to the intersection of the stable set^{} of $x$ with the unstable set of $y$, where $x$ and $y$ are two different fixed or periodic points of $f$, i.e. a point that belongs to ${W}^{s}(f,x)\cap {W}^{u}(f,y)$.

Title | heteroclinic |
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Canonical name | Heteroclinic |

Date of creation | 2013-03-22 13:48:38 |

Last modified on | 2013-03-22 13:48:38 |

Owner | Koro (127) |

Last modified by | Koro (127) |

Numerical id | 4 |

Author | Koro (127) |

Entry type | Definition |

Classification | msc 37C29 |