[Todos CMAT] Excelente noticia

[Diego Kiedanski]

Fellicitaciones!!

On Thu, Jul 9, 2015 at 10:20 AM, Eleonora Catsigeras <eleonora17 en gmail.com>
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 Cubr ía
> Instituto de Matem atica y Estad ística Rafael Laguardia, Universidad de
> la Rep ública, 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
>
>
>
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