24 citations · 66 across the 8 of their papers we have counts for
9 papers
Kupka-Smale diffeomorphisms at the boundary of uniform hyperbolicity: a model
Renaud Leplaideur, Isabel Rios
We construct an explicit example of family of non-uniformly hyperbolic diffeomorphisms, at the boundary of the set of uniformly hyperbolic systems, with one orbit of cubic heterocl…
On Equilibrium States for Partially Hyperbolic Horseshoes
Isabel Rios, Jaqueline Siqueira
We prove existence and uniqueness of equilibrium states for a family of partially hyperbolic systems, with respect to Holder continuous potentials with small variation. The family…
Attractors and repellers near generic elliptic points of reversible maps
Sergey Gonchenko, Jeroen Lamb, Isabel Rios +1
We show that resonance zones near an elliptic periodic point of a reversible map must, generically, contain asymptotically stable and asymptotically unstable periodic orbits, along…
Equilibrium States for Partially Hyperbolic Horseshoes
Renaud Leplaideur, Krerley Oliveira, Isabel Rios
In this paper, we study ergodic features of invariant measures for the partially hyperbolic horseshoe at the boundary of uniformly hyperbolic diffeomorphisms constructed in \cite{D…
Invariant manifolds and equilibrium states for non-uniformly hyperbolic horseshoes
R. Leplaideur, I. Rios
In this paper we consider horseshoes containing an orbit of homoclinic tangency accumulated by periodic points. We prove a version of the Invariant Manifolds Theorem, construct fin…
The boundary of hyperbolicity for Henon-like families
Yongluo Cao, Stefano Luzzatto, Isabel Rios
We consider C^{2} Henon-like families of diffeomorphisms of R^{2} and study the boundary of the region of parameter values for which the nonwandering set is uniformly hyperbolic. A…