Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/85949
Registo completo
Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Bento, António | por |
dc.contributor.author | Oliveira, José J. | por |
dc.contributor.author | Silva, César | por |
dc.date.accessioned | 2023-08-04T13:15:23Z | - |
dc.date.issued | 2023-07-17 | - |
dc.date.submitted | 2023-01-20 | - |
dc.identifier.citation | Bento, A. J. G., Oliveira, J. J., & Silva, C. M. (2023, November). Existence and stability of a periodic solution of a general difference equation with applications to neural networks with a delay in the leakage terms. Communications in Nonlinear Science and Numerical Simulation. Elsevier BV. http://doi.org/10.1016/j.cnsns.2023.107429 | - |
dc.identifier.issn | 1007-5704 | por |
dc.identifier.uri | https://hdl.handle.net/1822/85949 | - |
dc.description.abstract | In this paper, a new global exponential stability criterion is obtained for a general multidimensional delay difference equation using induction arguments. In the cases that the difference equation is periodic, we prove the existence of a periodic solution by constructing a type of Poincar\'e map. The results are used to obtain stability criteria for a general discrete-time neural network model with a delay in the leakage terms. As particular cases, we obtain new stability criteria for neural network models recently studied in the literature, in particular for low-order and high-order Hopfield and Bidirectional Associative Memory(BAM). | por |
dc.description.sponsorship | CMA-UBI -Centro de Matemática e Aplicações da Universidade da Beira Interior(UIDB/00212/2020) | por |
dc.language.iso | eng | por |
dc.publisher | Elsevier 1 | por |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00013%2F2020/PT | por |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00013%2F2020/PT | por |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00212%2F2020/PT | por |
dc.rights | embargoedAccess (2 Years) | por |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | por |
dc.subject | Nonlinear delay difference equation | por |
dc.subject | Exponential stability | por |
dc.subject | Periodic solution | por |
dc.subject | Leakage delay | por |
dc.subject | Neural networks | por |
dc.title | Existence and stability of a periodic solution of a general difference equation with applications to neural networks with a delay in the leakage terms | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S1007570423003477 | por |
oaire.citationVolume | 126 | por |
dc.identifier.eissn | 1878-7274 | por |
dc.identifier.doi | 10.1016/j.cnsns.2023.107429 | por |
dc.date.embargo | 2025-07-17 | - |
dc.subject.fos | Ciências Naturais::Matemáticas | por |
sdum.journal | Communications in Nonlinear Science and Numerical Simulation | por |
oaire.version | AM | por |
dc.identifier.articlenumber | 107429 | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
manuscriptR1.pdf Até 2025-07-17 | 1,33 MB | Adobe PDF | Ver/Abrir |
Este trabalho está licenciado sob uma Licença Creative Commons