Á. Rovella

most citedOn the growth rate inequality for periodic points in the two sphere

1 citations · 1 across the 1 of their papers we have counts for

collaborators

2 papers

math.DS2017★ 1 cited

On the growth rate inequality for periodic points in the two sphere

G. Honorato, J. Iglesias, A. Portela +3

Let $f : S^{2} \to S^{2}$ be a continuous map such that $d e g f = d, ∣ d ∣ > 1$ . Suppose $f$ has two attracting fixed points denoted $N$ and $S$ and let $A = S^{2} ∖ {N, S}$ . Assume that i…

math.DS2016

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…