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Zoekopdracht: faculteit: "FMG" en publicatiejaar: "1990"

AuteursP.C.M. Molenaar, H.L.J. van der Maas, P.F.M.J. Verschure
TitelA note on chaotic behavior in simple neural networks.
TijdschriftNeural Networks
FaculteitFaculteit der Maatschappij- en Gedragswetenschappen
Instituut/afd.FMG: Psychology Research Institute
TrefwoordenChaotic behavior; Deterministic chaos; Autoassociator; Backpropagation; Hebbian learning
SamenvattingLocal 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.
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