[Todos CMAT] Excelente noticia

Eleonora Catsigeras eleonora17 en gmail.com
Jue Jul 9 10:20:12 UYT 2015


 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
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