Partial Hyperbolicity and Homoclinic Tangencies

Sylvain Crovisier (1) , Martin Sambarino (2) , Dawei Yang (3)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 CMAT
3 School of Mathematics

We show that any diffeomorphism of a compact manifold can be C1 approximated by diffeomorphisms exhibiting a homoclinic tangency or by diffeomorphisms having a partial hyperbolic structure.

Domaines: Systèmes dynamiques [math.DS]

Sylvain Crovisier, Martin Sambarino, Dawei Yang. Partial Hyperbolicity and Homoclinic Tangencies. 2011. ⟨hal-00728288⟩