16 citations · 56 across the 15 of their papers we have counts for
16 papers
The graph of the logistic map is a tower
Roberto De Leo, James A. Yorke
The qualitative behavior of a dynamical system can be encoded in a graph. Each node of the graph is an equivalence class of chain-recurrent points and there is an edge from node $A…
Julia sets of Newton maps of real quadratic polynomial maps on the plane
Roberto De Leo
We study numerically the - and -limits of the Newton maps of two of the most elementary families of polynomial transformations on the plane: those with a linear component and…
"Simple Dynamics" conjectures for some real Newton maps on the plane
Roberto De Leo
We collect from several sources some of the most important results on the forward and backward limits of points under real and complex rational functions, and in particular real an…
Quasiperiodic functions on the plane and electron transport phenomena
Roberto De Leo, Andrei Ya. Maltsev
While quasiperiodic functions in one variable appeared in applications since Eighteen hundreds, for example in connection with the trajectories of mechanical systems with 2n degres…
A survey on quasiperiodic topology
Roberto De Leo
This article is a survey of the Novikov problem of the structure of leaves of the foliations induced by a collection of closed 1-forms in a compact manifold . Equivalently, this…
Proof of a Gromov conjecture on the infinitesimal invertibility of the metric inducing operators
Roberto De Leo
We prove a conjecture of Gromov about non-free isometric immersions.