Neural networks in which synaptic patterns fluctuate with time

Journal of Statistical Physics

Volumn 94, Issue 5-6, 1999, Pages 837-858

  Marro, J ^a   Torres, J J ^a,b   Garrido, P L ^a  

^a UNIVERSITY OF GRANADA   (Spain)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Neural network; Stochastic Hopfield model; Synaptic noise

Indexed keywords

EID: 0033092844     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004578915784     Document Type: Article

References (31)

1. J. J. Hopfield, Proc. Natl. Acad. Sci. USA 79:2554 (1982).
2. J. J. Torres, P. L. Garrido, and J. Marro, J. Phys. A 30:7801 (1997).
3. C. R. Noback and R. J. Demarest, The Human Nervous System: Basic Principles of Neurobiology (McGraw-Hill, New York, 1975).
4. B. Müller and J. Reinhardt, Neural Networks, An Introduction (Springer-Verlag, Berlin, 1990).
5. P. Peretto, An Introduction to the Modeling of Neural Networks (Cambridge University Press, Cambridge, 1992).
6. D. Ferster, Science 273:1812 (1996).
7. N. Otmakhov, A. M. Shirke, and R. Malinow, Neuron 10:1101 (1993).
8. K. E. Sorra and K. M. Harris, J. Neurosci. 13:3736 (1993).
9. A. J. Mandell and K. A. Selz, J. Stat. Phys. 70:355 (1993).
10. C. F. Stevens and Y. Wang, Nature 371:704 (1994).
11. Y. Goda and C. F. Stevens, Proc. Nat. Acad. Sci. USA 91:12942 (1994).
12. K. J. Stratford, K. Tarczy-Hornoch, K. A. C. Martin, N. J. Bannister, and J. J. B. Jack, Nature 382:258 (1996).
13. D. K. Smetters and A. Zador, Current Biology 6:1217 (1996).
14. F. Moss, Phys. World 10:15 (1997).
15. J. von Neummann, in Cerebral Mechanics of Behavior, L. A. Jeffres, ed. (Wiley, New York, 1951).
16. J. Buhmann and K. Schulten, Biol. Cybern. 56:313 (1987).
17. H. Liljenström and X. B. Wu, Int. J. Neural Systems 6:19 (1995).
18. W. L. Ditto and F. Moss, short report in APS News 6, No. 5 (May 1997).
19. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999).
20. D. O. Hebb, The Organization of Behavior: A Neurophysiological Theory (Wiley, New York, 1949).
21. J. Marro, P. L. Garrido, and J. J. Torres, Phys. Rev. Lett. 81:2827 (1998).
22. D. C. Mattis, Phys. Lett. A 56:421 (1976).
23. L. Elsgoltz, Ecuaciones Diferenciales y Cálculo Variacional (Mir, Moscow, 1977).
24. D. J. Amit, H. Gutfreund, and M. Sompolinsky, Phys. Rev. A 32:1007 (1985).
25. B. Derrida, E. Gardner, and A. Zippelius, Europhys. Lett. 4:167 (1987).
26. H. Gutfreund and M. Mezard, Phys. Rev. Lett. 61:235 (1988).
27. F. A. Tamarit and E. M. F. Curado, J. Stat. Phys. 62:473 (1991).
28. D. Horn. Physica A 200:594 (1993).
29. C. R. Da Silva, F. A. Tamarit, and E. M. F. Curado, Int. J. Mod. Phys. C 7:43 (1996).
30. A. C. C. Coolen, R. W. Penney, and D. Sherrington, Phys. Rev. B 48:16116 (1993); J. Phys. A 26:3681 (1993).
31. A. C. C. Coolen, R. W. Penney, and D. Sherrington, Phys. Rev. B 48:16116 (1993); J. Phys. A 26:3681 (1993).