Zoekopdracht:
faculteit: "FMG" en publicatiejaar: "1990"
| Auteurs | P.C.M. Molenaar, H.L.J. van der Maas, P.F.M.J. Verschure | | Titel | A note on chaotic behavior in simple neural networks. |
| Tijdschrift | Neural Networks |
| Jaargang | 3 |
| Jaar | 1990 |
| Nummer | 1 |
| Pagina's | 119-122 |
| ISSN | 0893-6080 |
| Faculteit | Faculteit der Maatschappij- en Gedragswetenschappen |
| Instituut/afd. | FMG: Psychology Research Institute |
| Trefwoorden | Chaotic behavior; Deterministic chaos; Autoassociator; Backpropagation; Hebbian learning |
| Samenvatting | Local dynamics in a neural network are described by a two-dimensional (backpropagation or Hebbian) map of network activation and coupling strength. Adiabatic reduction leads to a non-linear one-dimensional map of coupling strength, suggesting the presence of a period-doubling route to chaos. It is shown that smooth variation of one of the parameters of the original map, -learning rate-, gives rise to period-doubling bifurcations of total coupling strength. Firstly, the associated bifurcation diagrams are given which indicate the presence of chaotic regimes and periodic windows. Secondly, pseudo-phase space
diagrams and the Lyapunov exponents for alleged chaotic regimes are presented. Finally, spectral plots associated with these regimes are shown. |
| Soort document | Artikel |
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