Hysteresis studies in a noisy autoassociative neural network

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 1, 2000, Pages 968-971

  Rai, Renuka ^a   Singh, Harjinder ^a  

^a PANJAB UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

HYSTERESIS LOOPS; NEURAL NETWORKS;

AUTOASSOCIATIVE NEURAL NETWORKS; NOISE INTENSITIES; NOISE STRENGTH; PERIODIC FIELDS; PERIODIC SIGNAL; SIGNAL FREQUENCIES;

HYSTERESIS;

EID: 5244382073     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.968     Document Type: Article

References (50)

1. P. Jung, Phys. Rep. 234, 175 (1993).
2. M.C. Mahato and S.R. Shenoy, Phys. Rev. E 50, 2503 (1994).
3. P.M. Gade, R. Rai, and H. Singh, Phys. Rev. E 56, 2518 (1997).
4. M. Lederman, S. Schultz, and M. Ozaki, Phys. Rev. Lett. 73, 1986 (1994)
5. Phys. Rev. Lett.Y.L. He and G.C. Wang, 70, 2336 (1993)
6. W.J. Merz, Phys. Rev. 91, 513 (1953)
7. Phys. Rev.W.J. Merz, 91, 690 (1954)
8. H.H. Wieder, J. Appl. Phys. 26, 1479 (1955).
9. Gy. Hutiray and G. Mihaly, in Charge Density Waves in Solids, Vol. 217 of Lecture Notes in Physics, edited by Gy. Hutiray and J. Solyom (Springer-Verlag, Berlin, 1985).
10. E.C. Gage and L. Mandel, J. Opt. Soc. Am. 6, 287 (1989).
11. A. Visitin, Differential Models of Hysteresis (Springer, Berlin, 1994)
12. M. Brokate and J. Sprekels, Hysteresis and Phase Transitions (Springer, New York, 1996).
13. R. Gilmore, Phys. Rev. A 20, 2510 (1979)
14. Phys. Rev. AG.S. Agarwal and S.R. Shenoy, 23, 2719 (1981)
15. Phys. Rev. AS.R. Shenoy and G.S. Agarwal, 29, 1315 (1984).
16. M. Rao, H.R. Krishnamurthy, and R. Pandit, Phys. Rev. B 42, 856 (1990)
17. Phys. Rev. BM. Rao and R. Pandit, 43, 3373 (1991)
18. M. Rao, H.R. Krishanamurthy, and R. Pandit, J. Phys. C 1, 9061 (1989)
19. D. Dhar and P.B. Thomas, J. Phys. A 25, 4967 (1992).
20. S.W. Sides, P.A. Rikvold, and M.A. Novotny, Phys. Rev. E 59, 2710 (1999)
21. Phys. Rev. ES.W. Sides, P.A. Rikvold, and M.A. Novotny, 57, 6512 (1998).
22. M.C. Mahato and A.M. Jayannavar, Phys. Rev. E 55, 3716 (1997)
23. Phys. Rev. EM.C. MahatoA.M. Jayannavar55, 6266 (1997).
24. P. Jung, G. Gray, R. Roy, and P. Mandel, Phys. Rev. Lett. 65, 1873 (1990)
25. T. Tomé and M.J. de Oliveira, Phys. Rev. A 41, 4251 (1990)
26. C.N. Luse and A. Zangwill, Phys. Rev. E 50, 224 (1994)
27. M. Locher, G.A. Johnson, and E.R. Hunt, Phys. Rev. Lett. 77, 4698 (1996).
28. M. Acharyya and B.K. Chakarbarti, J. Phys. A 27, 1533 (1994)
29. W.S. Lo and R.A. Pelcovits, Phys. Rev. A 42, 7471 (1990)
30. M. Acharyya and B.K. Chakrabarti, J. Phys. A 52, 6550 (1995).
31. M. Thorwart and P. Jung, Phys. Rev. Lett. 78, 2503 (1997)
32. T.P. Pareek, M.C. Mahato, and A.M. Jayannawar, Mod. Phys. Lett. B 11, 861 (1997).
33. R. Rai and H. Singh, Mod. Phys. Lett. B 13, 181 (1999).
34. P. Shukla and T.K. Sinha, Phys. Rev. E 49, 4811 (1994)
35. Phys. Rev. EP. Shukla, 56, 2265 (1997).
36. F. Masulli, M. Riani, and E. Simonotto, Proc. SPIE 1710, 267 (1992).
37. L.A. Necker, Philos. Mag. 3, 329 (1832)
38. H. Goldhamer, Am. J. Psychol. 46, 189 (1934), and references therein.
39. J. Buhmann and K. Schulten, Biol. Cybern. 56, 313 (1987).
40. M. Riani and E. Simonotto, Phys. Rev. Lett. 72, 3120 (1994).
41. J.J. Hopfield, Proc. Natl. Acad. Sci. USA 79, 2554 (1982)
42. Proc. Natl. Acad. Sci. USAJ. J. Hopfield, 81, 3088(1994).
43. N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
44. R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981).
45. See, for example, Proceedings of the NATO ARW Stochastic Resonance in Physics and Biology, edited by F. Moss, A. Bulsara and M.F. Shlesinger [J. Stat. Phys. 70, 1 (1993)].
46. B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989).
47. B. McNamara, K. Wiesenfeld, and R. Roy, Phys. Rev. Lett. 60, 2626 (1988)
48. S. Fauve and F. Heslot, Phys. Lett. 97A, 5 (1983)
49. T. Zhou, F. Moss, and P. Jung, Phys. Rev. A 42, 3161 (1990).
50. K. Binder and A.P. Young, Rev. Mod. Phys. 58, 801 (1986).