1 citations · 2 across the 2 of their papers we have counts for
4 papers
Topological Attractors of Contracting Lorenz Maps
Paulo Brandão
We study the non-wandering set of contracting Lorenz maps. We show that if such a map doesn't have any attracting periodic orbit, then there is a unique topological attractor.…
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 Structure of Lorenz Maps
Paulo Brandão
We study the non-wandering set of contracting Lorenz maps with negative Schwarzian derivative. We show that if doesn't have attracting periodic orbit, then there is a…
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…