Abstract

In this paper we will prove that any asymptotically sectional-hyperbolic attractor associated to a three-dimensional C2 vector field X supports an unique physical measure. Asymptotic sectional-hyperbolicity means that any point outside of the stable manifolds of the singularities has arbitrarily large hyperbolic times. Besides, we will describe its main properties and we will deduce some dynamical consequences of the existence of this measure. © 2023 Elsevier Inc.