1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DS2003
Sufficient conditions for robustness of attractors
C. A. Morales, M. J. Pacifico
A recent problem in dynamics is to determinate whether an attractor of a flow is robust transitive or not. By {\em attractor} we mean a transitive set to which…
math.DS2003★ 1 cited
Transitivity and homoclinic classes for singular-hyperbolic systems
C. A. Morales, M. J. Pacifico
A {\em singular hyperbolic set} is a partially hyperbolic set with singularities (all hyperbolic) and volume expanding central direction \cite{MPP1}. We study connected, singular-h…
math.DS2001
Homoclinic classes for generic C^1 vector fields
C. M. Carballo, C. A. Morales, M. J. Pacifico
We prove that homoclinic classes for a residual set of C^1 vector fields X on closed n-manifolds are maximal transitive and depend continuously on periodic orbit data. In addition,…