3 papers
math.DS2020
Poincaré compactification for non-polynomial vector fields
José Luis Bravo, Manuel Fernández, Antonio E. Teruel
In this work a theorical framework to apply the Poincaré compactification technique to locally Lipschitz continuous vector fields is developed. It is proved that these vectors fiel…
physics.optics2019
Method for real-time measurement of the nonlinear refractive index
Manuel P. Fernández, Laureano A. Bulus Rossini, Pablo A. Costanzo Caso
In this work, we propose a novel method for continuous real-time measurement of the dynamics of the nonlinear refractive index n2. This is particularly important for characterizing…
math.CA2017
Uniqueness of Limit Cycles for Quadratic Vector Fields
José Luis Bravo, Manuel Fernández, Ignacio Ojeda +1
This article deals with the study of the number of limit cycles surrounding a critical point of a quadratic planar vector field, which, in normal form, can be written as $x'= a_1 x…