20 citations · 42 across the 10 of their papers we have counts for
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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 (…
Non-integrability of some few body problems in two degrees of freedom
Primitivo Acosta-Humanez, Martha Alvarez-Ramirez, Joaquin Delgado
The basic theory of Differential Galois and in particular Morales--Ramis theory is reviewed with focus in analyzing the non--integrability of various problems of few bodies in Cele…
Nonautonomous Hamiltonian Systems and Morales-Ramis Theory I. The Case
Primitivo B. Acosta-Humanez
In this paper we present an approach towards the comprehensive analysis of the non-integrability of differential equations in the form which is analogous to Hamilt…
Non-integrability of some Hamiltonians with rational potentials
Primitivo Acosta-Humanez, David Blazquez-Sanz
In this work we compute the families of classical Hamiltonians in two degrees of freedom in which the Normal Variational Equation around an invariant plane falls in Schroedinger ty…