3 citations · 5 across the 4 of their papers we have counts for
10 papers
Transcritical Bifurcations and Algebraic Aspects of Quadratic Multiparametric Families
Jorge Rodríguez Contreras, Alberto Reyes Linero, Bladimir Blanco Montes +1
This article reveals an analysis of the quadratic systems that hold multiparametric families therefore, in the first instance the quadratic systems are identified and classified in…
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…
Liouvillian solutions for second order linear differential equations with Laurent polynomial coefficient
Primitivo B. Acosta-Humánez, David Blázquez-Sanz, Henock Venegas-Gómez
This paper is devoted to a complete parametric study of Liouvillian solutions of the general trace-free second order differential equation with a Laurent polynomial coefficient. Th…
Liouvillian solutions for second order linear differential equations with polynomial coefficients
Primitivo B. Acosta-Humánez, David Blázquez-Sanz, Henock Venegas-Gómez
In this paper we present an algebraic study concerning the general second order linear differential equation with polynomial coefficients. By means of Kovacic's algorithm and asymp…
Algebraic and qualitative aspects of quadratic vector fields related with classical orthogonal polynomials
Primitivo B Acosta-Humánez, Maria Campo Donado, Alberto Reyes Linero +1
This paper is a sequel of the reference \cite[§4.2, p.p. 1782--1783]{almp}, in where some families of quadratic polynomial vector fields related with orthogonal polynomials were st…
Nonintegrability of the unfoldings of codimension-two bifurcations
Primitivo B. Acosta-Humánez, Kazuyuki Yagasaki
Codimension-two bifurcations are fundamental and interesting phenomena in dynamical systems. Fold-Hopf and double-Hopf bifurcations are the most important among them. We study the…