18 citations · 142 across the 46 of their papers we have counts for
3 papers · 2 filters
Tame dynamics and robust transitivity
Christian Bonatti, Sylvain Crovisier, Nicolas Gourmelon +1
One main task of smooth dynamical systems consists in finding a good decomposition into elementary pieces of the dynamics. This paper contributes to the study of chain-recurrence c…
Transitivity and topological mixing for C1 diffeomorphisms
Flavio Abdenur, Sylvain Crovisier
We prove that, on connected compact manifolds, both C1-generic conservative diffeomorphisms and C1-generic transitive diffeomorphisms are topologically mixing. This is obtained thr…
Partial Hyperbolicity and Homoclinic Tangencies
Sylvain Crovisier, Martin Sambarino, Dawei Yang
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 s…