×

Aging in the retrieval phase of the Hopfield model. (English) Zbl 0984.92501

Summary: In this work we present a numerical study of the complex dynamical behavior of the Hopfield model within its retrieval phase. We find that the spin glass solutions that coexist with the retrieval attractors display a rich out of equilibrium dynamics suggesting the presence of a very intricate phase space structure, which resembles that of the Sherrington-Kirkpatrick model.

MSC:

92B20 Neural networks for/in biological studies, artificial life and related topics
Full Text: DOI

References:

[1] Hopfield, J. J., Proc. Nat. Acad. Sci. USA, 79, 2554 (1982) · Zbl 1369.92007
[2] Sherrington, D.; Kirkpatrick, S., Phys. Rev. Lett., 35, 1972 (1975)
[3] Benamira, Provost, Valee, J. Phys. Paris 46 (1985) 1269.; Benamira, Provost, Valee, J. Phys. Paris 46 (1985) 1269.
[4] Parisi, G., J. Phys. A, 13, L371 (1980)
[5] J.P. Bouchaud, L.F. Cugliandolo, J. Kurchan, M. Mézard, in: A.P. Yound (Ed.), Spin Glasses and Random Fields, World Scientific, Singapore, 1997, p. 161.; J.P. Bouchaud, L.F. Cugliandolo, J. Kurchan, M. Mézard, in: A.P. Yound (Ed.), Spin Glasses and Random Fields, World Scientific, Singapore, 1997, p. 161.
[6] Amit, D.; Gutfreund, H.; Sompolinsky, H., Ann. Phys., 173, 30 (1987)
[7] Montemurro, M. A.; Tamarit, F. A.; Stariolo, D. A.; Cannas, S. A., Phys. Rev. E, 62, 5721 (2000)
[8] Marinari, E.; Parisi, G.; Rosseti, D., Eur. Phys. J. B, 2, 495 (1998)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.