| Texto completo | |
| Autor(es): |
Pires, Benito
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. N/A, p. 9-pg., 2023-02-23. |
| Resumo | |
We construct a chaotic discrete-time continuous-state Hopfield network with piecewise-affine nonnegative activation functions and weight ma-trix with small positive entries. More precisely, there exists a Cantor set C in the state space such that the network has sensitive dependence on initial conditions at initial states in C and the network orbit of each initial state in C has C as its omega-limit set. The approach we use is based on tools developed and employed recently in the study of the topological dynamics of piecewise-contractions. The parameters of the chaotic network are explicitly given. (AU) | |
| Processo FAPESP: | 19/10269-3 - Teorias ergódica e qualitativa dos sistemas dinâmicos II |
| Beneficiário: | Claudio Aguinaldo Buzzi |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |