29 citations · 76 across the 13 of their papers we have counts for
14 papers
Expansive partially hyperbolic diffeomorphisms with one-dimensional center
Martín Sambarino, José Vieitez
We give sufficient conditions for an expansive partially hyperbolic diffeomorphism with one-dimensional center to be (topologically) Anosov.
Continuum-wise hyperbolicity
Alfonso Artigue, Bernardo Carvalho, Welington Cordeiro +1
We introduce continuum-wise hyperbolicity, a generalization of hyperbolicity with respect to the continuum theory. We discuss similarities and differences between topological hyper…
Countably and entropy expansive homeomorphisms with the shadowing property
Alfonso Artigue, Bernardo Carvalho, Welington Cordeiro +1
We discuss the dynamics beyond topological hyperbolicity considering homeomorphisms satisfying the shadowing property and generalizations of expansivity. It is proved that transiti…
Beyond topological hyperbolicity: the L-shadowing property
A. Artigue, B. Carvalho, W. Cordeiro +1
In this paper we further explore the L-shadowing property defined in [17] for dynamical systems on compact spaces. We prove that structurally stable diffeomorphisms and some pseudo…
Expansiveness, Lyapunov exponents and entropy for set valued maps
Maria José Pacifico, José Vieitez
In this paper we introduce a notion of expansiveness for a set valued map defined on a topological space different from that given by Richard Williams at \cite{Wi, Wi2} and prove t…
New cw-expansive homeomorphisms of surfaces
Mauricio Achigar, Alfonso Artigue, José Vieitez
In this article we characterize monotone extensions of cw-expansive homeomorphisms of compact metric spaces. We study the topology of its quotient space in the case of a compact su…