Time evolution of the extremely diluted Blume-Emery-Griffiths neural network

Details Time evolution of the extremely diluted Blume-Emery-Griffiths neural network Time evolution of the extremely diluted Blume-Emery-Griffiths neural network

2002-08-14

arxiv.org/abs/cond-mat/0208281v2

Physics

Condensed Matter

Statistical Mechanics

8 pages, 5 figures

Scientific paper

10.1103/PhysRevE.68.062901

The time evolution of the extremely diluted Blume-Emery-Griffiths neural network model is studied, and a detailed equilibrium phase diagram is obtained exhibiting pattern retrieval, fluctuation retrieval and self-sustained activity phases. It is shown that saddle-point solutions associated with fluctuation overlaps slow down considerably the flow of the network states towards the retrieval fixed points. A comparison of the performance with other three-state networks is also presented.

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