2024-03-28T10:24:25Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/405002021-06-23T11:39:42Zcom_10324_1176com_10324_931com_10324_894col_10324_1359
Elia, Cinzia
Maroto Camarena, Ismael
Núñez Jiménez, María del Carmen
Obaya, Rafael
2019
The analysis of the long-term behavior of the mathematical model of a neural
network constitutes a suitable framework to develop new tools for the dynamical
description of nonautonomous state-dependent delay equations (SDDEs).
The concept of global
attractor is given, and some results which establish properties ensuring
its existence and providing a description of its shape, are proved.
Conditions for the exponential stability of the global attractor
are also studied. Some properties
of comparison of solutions constitute a key in
the proof of the main results, introducing methods of monotonicity
in the dynamical analysis of nonautonomous SDDEs.
Numerical simulations of some illustrative models show
the applicability of the theory.
application/pdf
http://uvadoc.uva.es/handle/10324/40500
spa
Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type
info:eu-repo/semantics/article
TEXT
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