4 citations · 4 across the 4 of their papers we have counts for
4 papers
Almost All Transverse-Free Plane Curves Are Trivially Transverse-Free
Alejandro Lopez, Bella Villarreal, Ren Watson +1
We call a curve defined over \textit{transverse-free} if for every line, , over , is not a smooth dimensio…
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…
Homoclinic orbits and entropy for three-dimensional flows
A. M. Lopez, R. J. Metzger, C. A. Morales
We prove that every three-dimensional flow with positive topological entropy can be approximated by flows with homoclinic orbits. This extends a previous result for $C^…
Existence of periodic orbits for sectional Anosov flows
A. M. López
We prove that every sectional Anosov flow (or, equivalently, every sectional-hyperbolic attracting set of a flow) on a compact manifold has a periodic orbit. This extends the previ…