# Kupka-Smale

A diffeomorphism $f$ 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 KupkaSmale 2013-03-22 13:41:14 2013-03-22 13:41:14 Koro (127) Koro (127) 5 Koro (127) Definition msc 37D99 KupkaSmaleTheorem