2 papers
math.HO2020
From Poincaré to May: The Genesis of Discrete Dynamics
Oscar E. Martínez-Castiblanco, Primitivo B. Acosta-Humánez
In this paper, the origin of discrete dynamics is stated from a historical point of view, as well as its main ideas: fixed and periodic points, chaotic behaviour, bifurcations. Thi…
math.DS2015
Simple permutations with order by means of Pasting and Reversing
Primitivo B. Acosta-Humánez, Oscar E. Martínez-Castiblanco
The problem of genealogy of permutations has been solved partially by Stefan (odd order) and Acosta-Humánez \& Bernhardt (power of two). It is well known that Sharkovskii's theorem…