5 citations · 5 across the 2 of their papers we have counts for
3 papers
math.DS2017
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…
math.DS2017
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…
math.DS2006★ 5 cited
Non-Uniformly Hyperbolic Horseshoes Arising from Bifurcations of Poincaré Heteroclinic Cycles
Jacob Palis, Jean-Christophe Yoccoz
The purpose of this paper is to advance the knowledge of the dynamics arising from the creation and subsequent bifurcation of Poincaré heteroclinic cycles. The problem is central t…