2 papers
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…
math.DS2024
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…