5 citations · 6 across the 4 of their papers we have counts for
7 papers
Homoclinic Bifurcations: our collaboration with Jean-Christophe Yoccoz
Carlos Gustavo Moreira, Jacob Palis
We briefly describe our works in collaboration with Jean-Christophe Yoccoz, a great mathematician and friend, with special emphasis on those related to Homoclinic Bifurcations and…
Non-uniformly hyperbolic horseshoes in the standard family
Carlos Matheus, Carlos Gustavo Moreira, Jacob Palis
We show that the non-uniformly hyperbolic horseshoes of Palis and Yoccoz occur in the standard family of area-preserving diffeomorphisms of the two-torus for a set of (large) param…
Stable sets of certain non-uniformly hyperbolic horseshoes have the expected dimension
Carlos Matheus, Jacob Palis, Jean-Christophe Yoccoz
We show that the stable and unstable sets of non-uniformly hyperbolic horseshoes arising in some heteroclinic bifurcations of surface diffeomorphisms have the value conjectured in…
An estimate on the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes
Carlos Matheus, Jacob Palis
We show that the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes is strictly smaller than two.
On the Finiteness of Attractors for piecewise Maps of the Interval
Paulo Brandão, Jacob Palis, Vilton Pinheiro
We consider piecewise non-flat maps of the interval and show that, for Lebesgue almost every point, its omega-limit set is either a periodic orbit, a cycle of intervals or th…
On the Finiteness of Attractors for One-Dimensional Maps with Discontinuities
Paulo Brandão, Jacob Palis, Vilton Pinheiro
Since the proof, at the end of the 80's, of the finiteness of the number of attractors for maps of the interval having negative Schwarzian derivative, it has been generally c…