A diffeomorphismMathworldPlanetmath f mapping a smooth manifold M to itself is called a Kupka-Smale diffeomorphism if

  1. 1.

    every periodic point of f is hyperbolic;

  2. 2.

    for each pair of periodic points p,q of f, the intersection between the stable manifold of p and the unstable manifold of q is transversal.

Title Kupka-Smale
Canonical name KupkaSmale
Date of creation 2013-03-22 13:41:14
Last modified on 2013-03-22 13:41:14
Owner Koro (127)
Last modified by Koro (127)
Numerical id 5
Author Koro (127)
Entry type Definition
Classification msc 37D99
Related topic KupkaSmaleTheorem