Geodesic
Birth of homoclinic intersections: a model for the central dynamics of partially hyperbolic systems
Sylvain Crovisier1
1 CNRS - Laboratoire Analyse, Géométrie et Applications<br/>UMR 7539<br/>Institut Galilée, Université Paris 13<br/>Avenue J.-B. Clément, 93430<br/>Villetaneuse<br/>France
Annals of mathematics, Tome 172 (2010) no. 3, pp. 1641-1677.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove a conjecture of J. Palis: Any diffeomorphism of a compact manifold can be $C^1$-approximated by a Morse-Smale diffeomorphism or by a diffeomorphism having a transverse homoclinic intersection.
DOI : 10.4007/annals.2010.172.1641

Sylvain Crovisier 1

1 CNRS - Laboratoire Analyse, Géométrie et Applications<br/>UMR 7539<br/>Institut Galilée, Université Paris 13<br/>Avenue J.-B. Clément, 93430<br/>Villetaneuse<br/>France 
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Sylvain Crovisier. Birth of homoclinic intersections: a model for the central dynamics of partially hyperbolic systems. Annals of mathematics, Tome 172 (2010) no. 3, pp. 1641-1677. doi : 10.4007/annals.2010.172.1641. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.1641/

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