Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/80688
Título: | Global stability criteria for nonlinear differential systems with infinite delay and applications to BAM neural networks |
Autor(es): | Oliveira, José J. |
Palavras-chave: | Nonlinear delay differential equation Infinite delay Asymptotic stability Exponential stability Bidirectional associative memory neural networks |
Data: | Nov-2022 |
Editora: | Elsevier 1 |
Revista: | Chaos Solitons & Fractals |
Citação: | Oliveira, J. J. (2022, November). Global stability criteria for nonlinear differential systems with infinite delay and applications to BAM neural networks. Chaos, Solitons & Fractals. Elsevier BV. http://doi.org/10.1016/j.chaos.2022.112676 |
Resumo(s): | For a general n-dimensional nonautonomous and nonlinear differential equation with infinite delay, we give sufficient conditions for its global asymptotic stability. The main stability criterion depends on the size of the delay on the linear part and the dominance of the linear terms over the nonlinear terms. We apply our main result to answer several open problems left by L. Berezansky et. al. [Appl. Math. Comput. 243 (2014) 899-910]. Using the obtained theoretical stability results, we get sufficient conditions for both the global asymptotic and global exponential stability of a bidirectional associative memory neural network model with delays which generalizes models recently studied. Finally, a numerical example is given to illustrate the novelty of our results. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/80688 |
DOI: | 10.1016/j.chaos.2022.112676 |
ISSN: | 0960-0779 |
Versão da editora: | https://www.sciencedirect.com/science/article/pii/S0960077922008554 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
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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manuscript.pdf | 365,37 kB | Adobe PDF | Ver/Abrir |
Este trabalho está licenciado sob uma Licença Creative Commons