Skip to main content
Log in

Analysis of pulse frequency in a simple neural network

  • Cybernetics
  • Published:
Cybernetics and Systems Analysis Aims and scope

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

Access this article

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

Instant access to the full article PDF.

References

  1. J. J. Hopfield, "Neural networks and physical systems with emergent collective computational abilities," Proc. Natl. Acad. Sci. USA,79, No. 8, 2554–2558 (1982).

    Google Scholar 

  2. A. N. Chetaev, Neural Networks and Markov Chains [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  3. P. Peretto and J. J. Nietz, "Stochastic dynamics of neural networks," IEEE Trans. Syst. Man Cybern.,SMC-16, No. 1, 73–83 (1986).

    Google Scholar 

  4. M. N. Oguztoreli, G. M. Steil, and T. M. Caelli, "Control mechanisms of a neural network," Biol. Cybern.,54, No. 1, 21–28 (1986).

    Google Scholar 

  5. K. Matsuoka, "Sustained oscillations generated by mutually inhibiting neurons with adaptation," Biol. Cybern.,52, No. 6, 367–376 (1985).

    Google Scholar 

  6. A. Lapedes and R. Farber, "A self-optimizing, nonsymmetrical neural net for content addressable memory and pattern recognition," Physica D: Nonlinear Phenomena,22D, No. 1–3, 247–259 (1986).

    Google Scholar 

  7. S. N. Vorob'eva and A. B. Piunovskii, "Dynamic model of a two-layer stochastic neural net," in: Relaxation Processes and Phenomena in Active Media [in Russian], IFTP, Moscow (1990), pp. 63–69.

    Google Scholar 

  8. S. V. Fomin and M. B. Berkinblit, Mathematical Problems in Biology, [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  9. A. A. Bondar, "On probabilistic character of the transformation of information by a neuron," Proc. of Symposium on Statistical Electrophysiology [in Russian], Part 1, VGU, Vil'nyus (1968), pp. 81–92.

    Google Scholar 

  10. I. V. Popov, "On input pulse streams of visual analyzer neurons," Probl. Neirokibern.,2, 64–68 (1966).

    Google Scholar 

  11. A. B. Kogan and I. V. Popov, "On transformation of stationary Poisson pulse stream in the nerve cell synapse," Probl. Neirokibern.,2, 42–45 (1966).

    Google Scholar 

  12. W. Feller, An Introduction to Probability Theory and Its Applications [Russian translation], Vol. 2, Mir, Moscow (1984).

    Google Scholar 

  13. R. Elliott, Stochastic Analysis and Its Applications [Russian translation], Mir, Moscow (1986).

    Google Scholar 

  14. R. Sh. Liptser and A. N. Shiryaev, Martingale Theory [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  15. V. A. Trenogin, Functional Analysis [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  16. A. A. Yushkevich, "Continuous-time controlled Markov models with countably many sets," Teor. Verotyatn. Primenen.,22, No. 2, 222–241 (1977).

    Google Scholar 

Download references

Authors

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 22–34, November–December, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Piunovskii, A.B. Analysis of pulse frequency in a simple neural network. Cybern Syst Anal 29, 798–808 (1993). https://doi.org/10.1007/BF01122732

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01122732

Keywords

Navigation