Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 36, Issue 37, Pages 9617-9633Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/36/37/302
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We study a family of diluted attractor neural networks with a finite average number of (symmetric) connections per neuron. As in finite connectivity spin glasses, their equilibrium properties are described by order parameter functions, for which we derive an integral equation in replica symmetric approximation. A bifurcation analysis of this equation reveals the locations of the paramagnetic to recall and paramagnetic to spin-glass transition lines in the phase diagram. The line separating the retrieval phase from the spin-glass phase is calculated at zero temperature. All phase transitions are found to be continuous.
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