5 citations · 14 across the 6 of their papers we have counts for
7 papers
Non-locally connected spaces I: Coverings and branched coverings on metric spaces
Jorge Iglesias, Aldo Portela, Álvaro Rovella +1
Whether a rational function can have an indecomposable continuum as its Julia set is a fundamental open problem in complex dynamics. We settle this negatively for one of the most c…
On the growth rate inequality for periodic points in the two sphere
G. Honorato, J. Iglesias, A. Portela +3
Let be a continuous map such that . Suppose has two attracting fixed points denoted and and let . Assume that i…
Dynamics of annulus maps III: completeness
J. Iglesias, A. Portela, A. Rovella +1
Consider a continuous surjective self map of the open annulus with degree d > 1. It is proved that the number of Nielsen classes of periodic points is maximum possible whenever f h…
Dynamics of annulus coverings II: periodic points
Jorge Iglesias, Aldo Portela, Alvaro Rovella +1
Let be a covering map of the open annulus of degree , . Assume that preserves an essential (i.e not contained in a disk of ) compact subs…
Dynamics of covering maps of the annulus I: semiconjugacies
Jorge Iglesias, Aldo Portela, Alvaro Rovella +1
It is often the case that a covering map of the open annulus is semiconjugate to a map of the circle of the same degree. We investigate this possibility and its consequences on the…
On the inverse limit stability of endomorphisms
Pierre Berger, Alvaro Rovella
We present several results suggesting that the concept of -inverse limit stability is free of singularity theory. We describe an example of a -inverse stable endomorphism…
Contractive piecewise continuous maps modeling networks of inhibitory neurons
E. Catsigeras, A. Rovella, R. Budelli
We prove that a topologically generic network (an open and dense set of networks) of three or more inhibitory neurons have periodic behavior with a finite number of limit cycles th…