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math.DS2011★ 3 cited
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.
math.DS2011
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…