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Time evolution of the extremely diluted Blume-Emery-Griffiths neural network
D Bollé1, D R C Dominguez, R Erichsen
1Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, B-3001 Leuven, Belgium.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 3, 2004
Abstract:
A study of the time evolution and a stability analysis of the phases in the extremely diluted Blume-Emery-Griffiths neural network model are shown to yield new phase diagrams in which fluctuation retrieval may drive pattern retrieval. It is shown that saddle-point solutions associated with fluctuation overlaps slow down the flow of the network states towards the retrieval fixed points. A comparison of the performance with other three-state networks is also presented.