J. Phys. I France 4 (1994) 629-633
Saddle point equations of a neural network with correlated attractorsM. Shcherbina1 and B. Tirozzi2
1 Institute for Low Temperature Physics and Engineering, 47 Lenin Avenue, Kharkov 310164, Ukraine
2 Department of Mathematics, University of Rome "La Sapienza", P.le Aldo Moro, 5 - 00185, Roma, Italy
(Received 17 January 1994, received in final form 7 February 1994, accepted 25 February 1994)
We derive in a rigorous way, using a new technique, the saddle-point equations of a modified Hopfield model which stores sequences of patterns . We obtain the same equations as those of the replica-symmetry approach without using the limit but assuming selfaveraging of the Edwards-Anderson order parameter.
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