S. A. Zanata

most citedOn the existence of a new type of periodic and quasi-periodic orbits for twist maps of the torus

10 citations · 10 across the 2 of their papers we have counts for

collaborators

3 papers

math.DS2026

On Standard perturbations of the Affine twist map

Salvador Addas Zanata

For any $t \in R$ , consider the Affine twist map $Af f_{t} : T^{2} \to T^{2}$ given by $Af f_{t} (x, y) = (x + y mod 1, y + t mod 1) .$ The map $\rm{A…

math.DS2026

Foliations and minimality for twist maps

Salvador Addas Zanata, Julian Lazaro Aguirre

In this paper we consider area-preserving twist maps $f : T^{2} \to T^{2}$ with vertical rotation sets reduced to a single irrational number $α$ . Our first result states…

math.DS2002★ 10 cited

On the existence of a new type of periodic and quasi-periodic orbits for twist maps of the torus

S Addas Zanata

We prove that for a large and important class of $C^{1}$ twist maps of the torus periodic and quasi-periodic orbits of a new type exist, provided that there are no rotational invaria…