2024-03-28T13:24:37Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/405002021-06-23T11:39:42Zcom_10324_1176com_10324_931com_10324_894col_10324_1359
Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type
Elia, Cinzia
Maroto Camarena, Ismael
Núñez Jiménez, María del Carmen
Obaya, Rafael
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.
Ministerio de Economía y Competitividad / FEDER, MTM2015-66330-P
Ministerio de Ciencia, Innovación y Universidades, RTI2018-096523-B-I00
European Commission, H2020-MSCA-ITN-2014
2020-02-14T10:23:28Z
2020-02-14T10:23:28Z
2019
info:eu-repo/semantics/article
info:eu-repo/semantics/draft
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
spa
info:eu-repo/grantAgreement/EC/H2020/MSCA-ITN-2014
info:eu-repo/semantics/openAccess
application/pdf
https://uvadoc.uva.es/bitstream/10324/40500/5/NeurNetEliaMarotoNunezObaya-revised.pdf.jpg
Hispana
TEXT
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UVaDOC. Repositorio Documental de la Universidad de Valladolid
http://uvadoc.uva.es/handle/10324/40500