1 citations · 2 across the 7 of their papers we have counts for
7 papers
Centralizer of fixed point free separating flows
Bo Han, Xiao Wen
In this paper, we study the centralizer of a separating continuous flow without fixed points. We show that if is a compact metric space and is a separating flow wi…
On the centralizers of rescaling separating differentiable vector fields
Bo Han, Xiao Wen
We introduce a new version of expansiveness similar to separating property for flows. Let be a compact Riemannian manifold without boundary and be a vector field on $…
No-shadowing for singular hyperbolic sets with a singularity
Xiao Wen, Lan Wen
We prove that every singular hyperbolic chain transitive set with a singularity does not admit the shadowing property. Using this result we show that if a star flow has the shadowi…
On the partial hyperbolicity of robustly transitive sets with singularities
Xiao Wen, Dawei Yang
Homoclinic tangencies and singular hyperbolicity are involved in the Palis conjecture for vector fields. Typical three dimensional vector fields are well understood by recent works…
A rescaled expansiveness for flows
Xiao Wen, Lan Wen
We introduce a new version of expansiveness for flows. Let be a compact Riemannian manifold without boundary and be a vector field on that generates a flow …
Structurally Stable Homoclinic Classes
Xiao Wen
In this paper we study structurally stable homoclinic classes. In a natural way, the structural stability for an individual homoclinic class is defined through the continuation of…
Codimension one structurally stable chain classes
Xiao Wen, Lan Wen
The well known stability conjecture of Palis and Smale states that if a diffeomorphism is structurally stable then the chain recurrent set is hyperbolic. It is natural to ask if th…