[Todos CMAT] Excelente noticia

[Javier Cóppola]

Bien los pi!!!!!! Felicitaciones!!!!
El 09/07/2015 11:56, "Gabriel Núñez" <fnunez en fing.edu.uy> escribió:

> Que alegría! Felicitaciones Florecía, Pilar y Marcos.
> El jul 9, 2015 10:23 AM, "Eleonora Catsigeras" <eleonora17 en gmail.com>
> escribió:
>
>>  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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