2024-03-29T14:38:27Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/405002021-06-23T11:39:42Zcom_10324_1176com_10324_931com_10324_894col_10324_1359
00925njm 22002777a 4500
dc
Elia, Cinzia
author
Maroto Camarena, Ismael
author
Núñez Jiménez, María del Carmen
author
Obaya, Rafael
author
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.
Communications in Nonlinear Science and Numerical Simulation 78 (November) (2019), 104874, 1-23
1007-5704
http://uvadoc.uva.es/handle/10324/40500
10.1016/j.cnsns.2019.104874
104874
Communications in Nonlinear Science and Numerical Simulation
78
Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type