44 citations · 63 across the 3 of their papers we have counts for
3 papers
math.DS2013★ 16 cited
Morse-Smale systems and horseshoes for three dimensional singular flows
Shaobo Gan, Dawei Yang
We prove that for every three-dimensional vector field, either it can be accumulated by Morse-Smale ones, or it can be accumulated by ones with a transverse homoclinic intersection…
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.DS2008★ 44 cited
Expansive homoclinic classes
Dawei Yang, Shaobo Gan
We prove that for generic diffeomorphisms, every expansive homoclinic class is hyperbolic.