19 citations · 20 across the 2 of their papers we have counts for
2 papers
math.DS2009★ 1 cited
C^k-Robust transitivity for surfaces with boundary
Aubin Arroyo, Enrique R. Pujals
We prove that C^1-robustly transitive diffeomorphisms on surfaces with boundary do not exist, and we exhibit a class of diffeomorphisms of surfaces with boundary which are C^k-robu…
math.DS2009★ 19 cited
Bifurcations of periodic and chaotic attractors in pinball billiards with focusing boundaries
Aubin Arroyo, Roberto Markarian, David P. Sanders
We study the dynamics of billiard models with a modified collision rule: the outgoing angle from a collision is a uniform contraction, by a factor lambda, of the incident angle. Th…