Skip to main content
SpringerLink
Log in

Dynamics of circular neural network

  • Published:
Radiophysics and Quantum Electronics Aims and scope

Abstract

The deterministic dynamics of a Hopfield circular network for bit-sequence of recognition [15–17] is investigated. For simple initial conditions, the evolution equation is solved in terms of an overlap function. Stationary regimes of the traveling-wave type are found. The transient processes in the system and their dependence on the spatial structure of connectedness and the initial conditions are discussed. Two alternative types of associative information processing are proposed on the basis of the analysis.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. J. Hopfield, Proc. Natl. Acad. Sci. USA,79, No. 8, 2554 (1982).

    Google Scholar 

  2. D. J. Amit, Modeling Brain Function, Cambridge University Press, Cambridge (1989).

    Google Scholar 

  3. L. Personnaz, I. Guyon, and G. Dreyfus, J. Phys. (France) Lett.,46, No. 8, 359 (1985).

    Google Scholar 

  4. S. Diederich and M. Opper, Phys. Rev. Lett.,58, No. 9, 949 (1987).

    Google Scholar 

  5. W. Krauth and M. Mezard, J. Phys. A,20, No. 11, 745 (1987).

    Google Scholar 

  6. E. Gardner and B. Derrida, J. Phys. A,21, No. 1, 271 (1988).

    Google Scholar 

  7. J. L. van Hemmen, L. B. Ioffe, R. Kühn, and M. Vaas, Physica A,163, No. 1, 386 (1990).

    Google Scholar 

  8. E. Gardner, N. Stroud, and D. J. Wallace, J. Phys. A,22, No. 12, 2019 (1989).

    Google Scholar 

  9. R. Monasson, J. Phys. A,25, No. 13, 3701 (1992).

    Google Scholar 

  10. A. J. Noest, Phys. Rev. Lett.,63, No. 16, 1739 (1989).

    Google Scholar 

  11. A. J. Noest, “Semi-local signal processing in the visual system,” In: Statistical Mechanics of Neural Networks, L. Garrido (ed.), Springer-Verlag, Berlin (1990), p. 303.

    Google Scholar 

  12. A. C. C. Coolen, Future Generation Computer Systems,6, No. 2, 121 (1990).

    Google Scholar 

  13. A. C. C. Coolen and L. G. V. M. Lenders, J. Phys. A,25, No. 9, 2577 (1992).

    Google Scholar 

  14. J. B. Pollack, Artificial Intelligence,46, No. 1, 77 (1990).

    Google Scholar 

  15. A. Yu. Plakhov, S. A. Semenov, and O. I. Fisun, In: Proceedings of First International Conference on ITIAPR, Vol. 2, L'vov, October (1990), p. 207.

  16. A. Yu. Plakhov and S. A. Semenov, Europhys. Lett.,18, No. 3, 201 (1992).

    Google Scholar 

  17. S. A. Semenov and I. B. Shuvalova, Matem. Modelirovanie, 5, No. 10 (1993).

Download references

Authors
  1. S. A. Semenov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Physicotechnical Problems. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 37, No. 9, pp. 1116–1130, September, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Semenov, S.A. Dynamics of circular neural network. Radiophys Quantum Electron 37, 719–728 (1994). https://doi.org/10.1007/BF01039611

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01039611

Keywords

Search

Navigation