Gerardo Honorato

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

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2026

The weak Markus--Yamabe conjecture fails in dimension 14

Álvaro Castañeda, Gerardo Honorato, Francisco Valenzuela-Henríquez

We show that the weak Markus--Yamabe conjecture fails in every dimension $n \geq 14$ . We first prove a chain realization theorem: every polynomial Keller map $F=\I+H$ of $R^{n}$ with…

cs.CR2026

A chaotic flux cipher based on the random cubic family $f_{c_{n}} (z) = z^{3} + c_{n} z$

Pouya Mehdipour, Alexandre Miranda Alves, Gerardo Honorato +1

This paper presents a symmetric stream cipher that utilizes the dynamic properties of random cubic mappings in the complex plane to generate pseudo-random key streams. The system i…

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…

The weak Markus--Yamabe conjecture fails in dimension 14

A chaotic flux cipher based on the random cubic family fcn​​(z)=z3+cn​z

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

A chaotic flux cipher based on the random cubic family $f_{c_{n}} (z) = z^{3} + c_{n} z$