20 citations · 42 across the 10 of their papers we have counts for
14 papers
Semiclassical quantification of some two degree of freedom potentials: a Differential Galois approach
P. B. Acosta-Humánez, J. T. Lázaro, J. J. Morales-Ruiz +1
In this work we explain the relevance of the Differential Galois Theory in the semiclassical (or WKB) quantification of some two degree of freedom potentials. The key point is that…
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory
Primitivo Acosta-Humánez, Moulay Barkatou, Raquel Sánchez-Cauce +1
Darboux developed an ingenious algebraic mechanism to construct infinite chains of ''integrable'' second-order differential equations as well as their solutions. After a surprising…
Integrability of Stochastic Birth-Death processes via Differential Galois Theory
Primitivo B. Acosta-Humanez, Jose A. Capitan, Juan J. Morales-Ruiz
Stochastic birth-death processes are described as continuous-time Markov processes in models of population dynamics. A system of infinite, coupled ordinary differential equations (…
Some tastings in Morales-Ramis Theory
Primitivo Belén Acosta-Humánez, Germán Jiménez Blanco
In this paper we present a short material concerning to some results in Morales-Ramis theory, which relates two different notions of integrability: Integrability of Hamiltonian Sys…
Galoisian and Qualitative Approaches to Linear Polyanin-Zaitsev Vector Fields
Primitivo B. Acosta-Humánez, Alberto Reyes-Linero, Jorge Rodríguez-Contreras
The analysis of dynamical systems has been a topic of great interest for researches mathematical sciences for a long times. The implementation of several devices and tools have bee…
Non-integrability of the Armbruster-Guckenheimer-Kim quartic Hamiltonian through Morales-Ramis theory
P. Acosta-Humánez, M. Alvarez-Ramírez, T. Stuchi
We show the non-integrability of the three-parameter Armburster-Guckenheimer-Kim quartic Hamiltonian using Morales-Ramis theory, with the exception of the three already known integ…