Next talk of the Seminar (16:10, Room Sousa Pinto):
26/4/2019: "Convergence of asymptotic systems of nonautonomous 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 nonautonomous
Hopfield neural network models
with discrete timevarying 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 Nonautonomous 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.
