A. Portela

activity

20122026

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

1 citations · 2 across the 7 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.DS2017

$C^{1}$ stability of endomorphisms on two dimensional manifolds

J. Iglesias, A. Portela

A set of necessary conditions for $C^{1}$ stability of noninvertible maps is presented. It is proved that the conditions are sufficient for $C^{1}$ stability in compact oriented manifo…

math.DS2017

A simple proof of a theorem of sensitivity

J. Iglesias, A. Portela

We prove that every transitive and non minimal semigroup with dense minimal points is sensitive. When the system is almost open, we obtain a generalization of this result.

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…

C1 stability of endomorphisms on two dimensional manifolds

A simple proof of a theorem of sensitivity

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

$C^{1}$ stability of endomorphisms on two dimensional manifolds