2 papers
math.DS2026
A trichotomy for generic sectional-hyperbolic chain-recurrent classes
Elias Rego, Kendry Vivas
The notion of sectional-hyperbolicity is a weakened form of hyperbolicity introduced for vector fields in order to understand the dynamical behavior of certain higher-dimensional s…
math.DS2024
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…