We address the problem of the conditions under which an endomorphism having a dense
orbit is such that a sufficiently close perturbed map also exhibits a dense orbit. For this …

Dominated splittings Page 1 Nonlinearity PAPER Dominated splittings for flows with
singularities To cite this article: Vitor Araujo et al 2013 Nonlinearity 26 2391 View the article …

In this paper, we revisit uniformly hyperbolic basic sets and the domination of Oseledets
splittings at periodic points. We prove that periodic points with simple Lyapunov spectrum …

Sobre hiperbolicidade fraca para fluxos singulares Page 1 SOBRE HIPERBOLICIDADE
FRACA PARA FLUXOS SINGULARES Luciana Silva Salgado Tese de Doutorado …

In this article we intend to contribute in the understanding of the ergodic properties of the set
RT of robustly transitive local diffeomorphisms on a compact manifold M without boundary …

This work is an adaptation of the Katok Closing Lemma for non-singular, endomorphisms on
a compact Riemannian manifold. In special, it appears the idea of the proof of the …

We introduce the notion of uniform hyperbolicity along periodic orbits (UHPO) for homoclinic
classes and provide equivalent conditions under which the UHPO property on a $ C^ 1 …

Let X be a C 1 vector field on a compact boundaryless Riemannian manifold M (dim M≥ 2),
and Λ a compact invariant set of X. Suppose that Λ has a hyperbolic splitting, ie, T Λ M= E …

In this paper we revisit the structural stability questions and establish a sharper
characterization of the open set SS1 of C1-structurally stable diffeomorphisms on a compact …