2 papers
math.DS2014
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…
math.DS2014
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…