5 citations · 6 across the 4 of their papers we have counts for
4 papers · 1 filter
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.