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Contributions to the Theory of Asymptotically Sectional Hyperbolic Flows by Arbieto, Alexander; Pineda, Miguel; Rego, Elias; Vivas, Kendry J. is a scholarly article available to read on EtoBox.

What is Contributions to the Theory of Asymptotically Sectional Hyperbolic Flows about?

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 $C^2$ vector field is, in fact, sectional-hyperbolic (SH). Second, we establish that all ASH attractors exhibit the property of entropy flexibility. Additionally, we show that any ASH attractor for three-dimensional vector fields is entropy-expansive and admits periodic orbits. Finally, we provide a lower bound for the growth rate of periodic orbits in an ASH attractor.

Author

Arbieto, Alexander; Pineda, Miguel; Rego, Elias; Vivas, Kendry J.

Published

2022

Language

EN