5 citations · 7 across the 3 of their papers we have counts for
4 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…
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…
Sectional-hyperbolic lyapunov stable sets
Serafin Bautista, Yeison Sánchez
In hyperbolic dynamics, a well-known result is: every hyperbolic Lyapunov stable set, is attracting; it's natural to wonder if this result is maintained in the sectional-hyperbolic…
Sectional connecting lemma
Serafin Bautista, Valdiane Sales, Yeison Sánchez
A hyperbolic set on a compact manifold M, satisfies the property: given two of your any points p and q, such that for all positive ε>0, there is a trajectory in the hyperbolic set…