Hiperbolicidade não uniforme para fluxos singulares e difeomorfismos

Abstract

This work aims the study of some forms of weak hyperbolicity and some of their dynamical and ergodic properties, such as the relation between strong and weak hyperbolicity, dominated splittings and partial hyperbolicity, for differential dynamical systems (here understood as diffeomorphisms and flows from vector fields). In particular, we study the concepts of singular/sectional hyperbolicity and non-uniformly sectional hyperbolicity for singular flows.