28 citations · 134 across the 31 of their papers we have counts for
33 papers
On the Shadowableness of Flows With Hyperbolic Singularities
Alexander Arbieto, Andrés M. López, Elias Rego +1
In this work we study the existence of singular flows satisfying shadowing-like properties. More precisely, we prove that if C1 -vector field on a closed manifold induces a chain-r…
Contributions to the Theory of Asymptotically Sectional Hyperbolic Flows
Alexander Arbieto, Miguel Pineda, Elias Rego +1
In this paper, we make several contributions to the theory of asymptotically sectional-hyperbolic (ASH) flows. First, we prove that every star ASH attractor for a vector fiel…
Rescaled-Expansive Flows: Unstable Sets and Topological Entropy
Alexander Arbieto, Alfonso Artigue, Elias Rego
In this work we introduce and explore a rescaled-theory of local stable and unstable sets for rescaled-expansive flows and its applications to topological entropy. We introduce a r…
Expansive Lie Group Actions
Elias Rego, Alexander Arbieto
In this work we introduce a concept of expansiveness for actions of connected Lie groups. We study some of its properties and investigate some implications of expansiveness. We stu…
On the Space of Iterated Function Systems and Their Topological Stability
Alexander Arbieto, Alexandre Trilles
We study iterated function systems (IFS) with compact parameter space. We show that the space of IFS with phase space is the hyperspace of the space of self continuous maps of…
Shadowing for codimension one sectional-Anosov flows
A. Arbieto, A. M. López, Y. Sánchez
In hyperbolic dynamics, a well-known result is that every hyperbolic attracting set, have a finite pseudo-orbit tracing property (FPOTP). It's natural to wonder if this result is m…