6 citations · 8 across the 4 of their papers we have counts for
5 papers
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…
Intransitive sectional-Anosov flows on 3-manifolds
S. Bautista, A. M. López, H. M. Sánchez
For each , we show the existence of Venice masks (i.e. intransitive sectional-Anosov flows with dense periodic orbits) containing equilibria on certain compac…
On the intersection of sectional-hyperbolic sets
S. Bautista, C. A. Morales
We analyse the intersection of positively and negatively sectional-hyperbolic sets for flows on compact manifolds. First we prove that such an intersection is hyperbolic if the int…
On the essential hyperbolicity of sectional-Anosov flows
S. Bautista, C. A. Morales
We prove that every sectional-Anosov flow of a compact 3-manifold exhibits a finite collection of hyperbolic attractors and singularities whose basins form a dense subset of $M…