58 citations · 158 across the 13 of their papers we have counts for
13 papers
Mean dimension of general iterated function systems
Welington Cordeiro, Maria José Pacifico, Xuan Zhang
In this paper, we introduce and investigate the notions of Mean Dimension and Metric Mean Dimension for generalized iterated function systems (IFS). We establish basic properties o…
L-shadowing for the induced hyperspace homeomorphism
Mayara Antunes, Bernardo Carvalho, Welington Cordeiro
We prove that a homeomorphism f of a compact metric space X satisfies the L-shadowing property if and only if its induced hyperspace homeomorphism also satisfies the L-shadowing pr…
Gluing-orbit property, local stable/unstable sets, and induced dynamics on hyperspace
Mayara Antunes, Bernardo Carvalho, Welington Cordeiro +1
We prove that local stable/unstable sets of homeomorphisms of an infinite compact metric space satisfying the gluing-orbit property always contain compact and perfect subsets of th…
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…
Suspensions of homeomorphisms with the two-sided limit shadowing property
Jesús Aponte, Bernardo Carvalho, Welington Cordeiro
In this paper we discuss the two-sided limit shadowing property for continuous flows defined in compact metric spaces. We analyze some of the results known for the case of homeomor…
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…
N-expansive Flows
Alfonso Artigue, Welington Cordeiro, Maria José Pacífico
We define the concept of -expansivity for flows and extend some of the results already established for discrete dynamics and for -expansive flows. We show examples of -ex…
Positively n-expansive homeomorphisms and the L-shadowing property
Bernardo Carvalho, Welington Cordeiro
We discuss further the dynamics of n-expansive homeomorphisms with the shadowing property, started in [7]. The L-shadowing property is defined and the dynamics of n-expansive homeo…
On specification and measure expansiveness
Welington Cordeiro, Manfred Denker, Xuan Zhang
We relate the local specification and periodic shadowing properties. We also clarify the relation between local weak specification and local specification if the system is measure…
N-expansive homeomorphisms with the shadowing property
Bernardo Carvalho, Welington Cordeiro
We discuss the dynamics of -expansive homeomorphisms with the shadowing property defined on compact metric spaces. For every , we exhibit an -expansive homeom…
Continuum-wise expansiveness and specification for set-valued functions and topological entropy
Welington Cordeiro, Maria José Pacífico
We define the concept of continuum wise expansive for set-valued functions and prove that if a compact metric space admit a set-valued -expansive function then the topological…
CW-expansivity and entropy for flows
Alexander Arbieto, Welington Cordeiro, Maria Jose Pacifico
We define the concept of continuum wise expansive for flows, and we prove that continuum wise expansive flows on compact metric spaces with topological dimension greater than one h…