Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/85949
Título: | Existence and stability of a periodic solution of a general difference equation with applications to neural networks with a delay in the leakage terms |
Autor(es): | Bento, António Oliveira, José J. Silva, César |
Palavras-chave: | Nonlinear delay difference equation Exponential stability Periodic solution Leakage delay Neural networks |
Data: | 17-Jul-2023 |
Editora: | Elsevier 1 |
Revista: | Communications in Nonlinear Science and Numerical Simulation |
Citação: | 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 |
Resumo(s): | 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). |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/85949 |
DOI: | 10.1016/j.cnsns.2023.107429 |
ISSN: | 1007-5704 |
e-ISSN: | 1878-7274 |
Versão da editora: | https://www.sciencedirect.com/science/article/pii/S1007570423003477 |
Arbitragem científica: | yes |
Acesso: | Acesso embargado (2 Anos) |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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manuscriptR1.pdf Até 2025-07-17 | 1,33 MB | Adobe PDF | Ver/Abrir |
Este trabalho está licenciado sob uma Licença Creative Commons