Robust transitivity for endomorphisms
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 …
orbit is such that a sufficiently close perturbed map also exhibits a dense orbit. For this …
Dominated splittings for flows with singularities
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 …
singularities To cite this article: Vitor Araujo et al 2013 Nonlinearity 26 2391 View the article …
Uniform hyperbolicity revisited: index of periodic points and equidimensional cycles
M Bessa, J Rocha, P Varandas - Dynamical Systems, 2018 - Taylor & Francis
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 …
splittings at periodic points. We prove that periodic points with simple Lyapunov spectrum …
[PDF][PDF] Sobre hiperbolicidade fraca para fluxos singulares
L Salgado - 2012 - researchgate.net
Sobre hiperbolicidade fraca para fluxos singulares Page 1 SOBRE HIPERBOLICIDADE
FRACA PARA FLUXOS SINGULARES Luciana Silva Salgado Tese de Doutorado …
FRACA PARA FLUXOS SINGULARES Luciana Silva Salgado Tese de Doutorado …
Contribution to the ergodic theory of robustly transitive maps
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 …
RT of robustly transitive local diffeomorphisms on a compact manifold M without boundary …
Katok Closing Lemma for Non-singular Endomorphisms
P Mehdipour - Results in Mathematics, 2020 - Springer
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 …
a compact Riemannian manifold. In special, it appears the idea of the proof of the …
Uniform hyperbolicity along periodic orbits
A Fakhari - Proceedings of the American Mathematical Society, 2013 - ams.org
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 …
classes and provide equivalent conditions under which the UHPO property on a $ C^ 1 …
On the hyperbolicity of flows
SB Gan, ZN Liu, RS Zheng - Science China Mathematics, 2016 - Springer
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 …
and Λ a compact invariant set of X. Suppose that Λ has a hyperbolic splitting, ie, T Λ M= E …
[PDF][PDF] STRUCTURAL STABILITY REVISITED: FINEST DOMINATED SPLITTINGS AND EQUIDIMENSIONAL CYCLES
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 …
characterization of the open set SS1 of C1-structurally stable diffeomorphisms on a compact …