29 citations · 77 across the 27 of their papers we have counts for
6 papers · 2 filters
Anomalous cw-expansive surface homeomorphisms
Alfonso Artigue
We prove that the genus two surface admits a cw-expansive homeomorphism with a fixed point whose local stable set is not locally connected.
Pseudo-Anosov maps and continuum theory
Alfonso Artigue
In the hyperspace of subcontinua of a compact surface we consider a second order Hausdorff distance. This metric space is compactified in such a way that the stable foliation of a…
Minimal expansive systems and spiral points
Alfonso Artigue
It is known that if a compact metric space X admits a minimal expansive homeomorphism then X is totally disconnected. In this note we give a short proof of this result and we analy…
Robustly N-expansive surface diffeomorphisms
Alfonso Artigue
We give sufficient conditions for a diffeomorphism of a compact surface to be robustly -expansive and cw-expansive in the -topology. We give examples on the genus two surfa…
Isolated sets, catenary Lyapunov functions and expansive systems
Alfonso Artigue
It is a paper about models for isolated sets and the construction of special hyperbolic Lyapunov functions. We prove that after a suitable surgery every isolated set is the interse…
Discrete and Continuous Topological Dynamics: Fields of Cross Sections and Expansive Flows
Alfonso Artigue
In this article we consider the general problem of translating definitions and results from the category of discrete-time dynamical systems to the category of flows. We consider th…