20 citations · 44 across the 9 of their papers we have counts for
12 papers
On -generic twist maps of
Salvador Addas-Zanata
We consider twist diffeomorphisms of the torus, and their vertical rotation intervals where is a l…
Mathers regions of instability for annulus diffeomorphisms
Salvador Addas-Zanata, Fabio Armando Tal
Let be a diffeomorphism of the closed annulus that preserves orientation and the boundary components, and be a lift of to its univer…
On Stable and Unstable Behaviours of Certain Rotation Segments
Salvador Addas-Zanata, Xiao-Chuan Liu
In this paper, we study non-wandering homeomorphisms of the two torus in the identity homotopy class, whose rotation sets are non-trivial line segments from to some totally…
A condition that implies full homotopical complexity of orbits
Salvador Addas-Zanata, Bruno de Paula Jacoia
We consider closed orientable surfaces of genus and homeomorphisms homotopic to the identity. A set of hypotheses is presented, called fully essential…
A consequence of the growth of rotation sets for families of diffeomorphisms of the torus
Salvador Addas-Zanata
In this paper we consider -generic families of area-preserving diffeomorphisms of the torus homotopic to the identity and their rotation sets. Let $f_t:\rm{T^2\rightarro…
Rational Mode Locking for Homeomorphisms of the 2-Torus
Patrice Le Calvez, Salvador Addas-Zanata
Let be a homeomorphism homotopic to the identity, be a fixed lift a…
Persistence of fixed points under rigid perturbations of maps
Salvador Addas-Zanata, Pedro A. S. Salomão
Let be a real-analytic annulus diffeomorphism which is homotopic to the identity map and preserves an area form. Assume that for some lift $\…
Uniform bounds for diffeomorphisms of the torus and a conjecture of P. Boyland
Salvador Addas-Zanata
We consider diffeomorphisms of the torus, denoted homotopic to the identity and whose rotation sets have interior. We give some uniform bounds on the displacement of…
Area-preserving diffeomorphisms of the torus whose rotation sets have non-empty interior
Salvador Addas-Zanata
In this paper we consider area-preserving diffeomorphisms of the torus either homotopic to the identity or to Dehn twists. We suppose that has a lift $\widetilde…
Dynamics of homeomorphisms of the torus homotopic to Dehn twists
Braulio Garcia, Fabio Armando Tal, Salvador Addas-Zanata
In this paper we consider torus homeomorphisms homotopic to Dehn twists. We prove that if the vertical rotation set of is reduced to zero, then there exists a compact conne…
Homeomorphisms of the annulus with a transitive lift
Salvador Addas Zanata, Fabio Armando Tal
Let be a homeomorphism of the closed annulus that preserves orientation, boundary components and that has a lift to the infinite strip which is transi…
A note on a standard family of twist maps
S Addas-Zanata
We investigate the break up of the last invariant curve for families of standard maps. Our main result is another evidence of how hard this problem is. We give an example of an ana…