Functional Analysis and Applications Seminar

 

(organized by the Functional Analysis and Applications Group)

 

Department of Mathematics, University of Aveiro

 

 



 

Next talk of the Seminar (16:10, Room Sousa Pinto):


 

26/4/2019: "Convergence of asymptotic systems of non-autonomous Hopfield

neural network models with infinite distributed delays "

 

     

José J. Oliveira  (Departamento de Matemática & CMAT, Universidade do Minho)

 

In this seminar, we present some results about the global convergence of solutions of non-autonomous

Hopfield neural network models with discrete time-varying delays, infinite distributed delays, and possible

unbounded coefficient functions.

 

In some situations, with these results it is possible to characterize the dynamic of a Hopfield neural

network model studying the dynamic of one of its asymptotic models.

 

Some examples are presented to compare our results with the previous one in the literature.

 

References:

José J. Oliveira Convergence of Asymptotic Systems of Non-autonomous Neural Network Models

with Infinite Distributed Delays, Nonlinear Science 27 (2017), 1463–1486.

 

 

This Seminar is supported in part by the Portuguese Foundation for Science and Technology (FCT - Fundação para a Ciência e a Tecnologia), through CIDMA - Center for Research and Development in Mathematics and Applications, within project UID/MAT/04106/2019.

 

 

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