Consider the celebrated Lyness recurrence $x_{n+2}=(a+x_{n+1})/x_{n}$ with $a\in\Q$. First we prove that there exist initial conditions and values of $a$ for which it generates periodic sequences of rational numbers with ...

We give an exhaustive characterization of singular weak solutions for some singular ordinary differential equations. Our motivation stems from the fact that in the context of hydrodynamics several prominent equations are ...

We consider the spread of an infectious disease on a heterogeneous metapopulation defined by any (correlated or uncorrelated) network. The infection evolves under transmission, recovery and migration mechanisms. We study ...

Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for the n dimensional case, the zero solution ...

In this article we look at mathematical esthetic experience from the point of view of analytical psychology. We analyze the myth that the universe is a harmonic entity that can be described through mathematics, which gives ...