[Todos CMAT] Excelente noticia

[vrumbo en cmat.edu.uy]

Muy bien, felicitaciones a todos!! No fui a Lyon pero puedo decir que vi el 
mejor poster de la presentación :) Arriba!

On Jul 9 2015, Eleonora Catsigeras wrote:

> Tengo el agrado de compartir con ustedes la siguiente excelente noticia:
>
>El comité científico del evento EquaDiff 2015
>http://equadiff2015.sciencesconf.org/resource/page/id/1
>que se está desarrollando en Lyon, Francia
>otorgó el primer premio como mejor trabajo presentado en forma póster
>al de nuestros compañeros Pilar Lorenzo, Marcos Barrios,  y Florencia
>Cubría  (ver título y resumen al pie)
>
>¡Felicitaciones a Pilar, Marcos y Florencia!
>
>Title: Dynamics of cooperative neuronal networks
>depending on their associated graphs.
>Authors: Pilar Lorenzo (1), Marcos Barrios , and Florencia Cubría
>Instituto de Matematica y Estadística Rafael Laguardia, Universidad de
>la República, Uruguay
>(IMERL, UdelaR)
>
>Abstract
>We investigate the dynamics of abstract neuronal networks modelled as
>impulsive di fferencial equations on arbitrarily large dimensions, mutually
>coupled by impulses. In particular, we study the dynamics that is induced
>by the graph of impulsive interactions, for certain classes of graphs.
>The methodology of research is mathematical with rigorous proofs based on
>the mathematical theory of dynamical systems and the theory of graphs.
>
>The main tool we use is the consideration of the pulses ocurring in the
>whole network during certain time interval. For strongly connected graphs
>we prove that every neuron fi res infinitely many times.
>
>For complete graphs we find an optimal lower bound on the network size that
>ensures the existence of the so called "grand coalition". Also, if the
>graph is not complete but each neuron has enough connections, the grand
>coalition is still present. Finally, we construct extensions from the
>strongly connected and star-shaped graphs that also imply the existence the
>grand coalition.
>
>(1) Speaker
>
> plorenzo@ fing.edu.uy
> marcosb en fi ng.edu.uy
> fcubria en cmat.edu.uy
>