2 citations · 3 across the 5 of their papers we have counts for
7 papers
Omega-limit sets close to singular-hyperbolic attractors
C. M. Carballo, C. A. Morales
We study the omega-limit sets in an isolating block of a singular-hyperbolic attractor for three-dimensional vector fields . We prove that for every vector field $Y…
The explosion of singular hyperbolic attractors
C. A. Morales
A {\em singular hyperbolic attractor} for flows is a partially hyperbolic attractor with singularities (hyperbolic ones) and volume expanding central direction \cite{mpp1}. The geo…
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…
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…
Topological dimension of singular-hyperbolic attractors
C. A. Morales
An {\em attractor} is a transitive set of a flow to which all positive orbit close to it converges. An attractor is {\em singular-hyperbolic} if it has singularities (all hyperboli…
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,…