44 citations · 53 across the 3 of their papers we have counts for
4 papers
Dominated chain recurrent class with singularities
Christian Bonatti, Shaobo Gan, Dawei Yang
We prove that for generic three-dimensional vector fields, domination implies singular hyperbolicity.
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…
On the existence of attractors
Christian Bonatti, Ming Li, Dawei Yang
On every compact 3-manifold, we build a non-empty open set $\cU$ of $\Diff^1(M)$ such that, for every , every -generic diffeomorphism $f\in\cU\cap \Diff^r(M)$ has no…
Expansive homoclinic classes
Dawei Yang, Shaobo Gan
We prove that for generic diffeomorphisms, every expansive homoclinic class is hyperbolic.