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Models of Certain Nonlinear Systems

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Neural Networks

Abstract

A continuous model of linear binary threshold elements and some of its properties are discussed.

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References

  1. Rosenslarr, F.: Principles of Neurodynamics. Washington, D.C.: Spartan 1962.

    Google Scholar 

  2. Widrow, B., and M. E. Hoff: Adaptive Switching Circuits, 1960 Wescon Convention Record ( IV ), Aug. 1960, p. 96–104.

    Google Scholar 

  3. Muroga, S., I. Toda, and S. Takasu: Theory of Majority Decision Elements, J. Franklin Inst. 271, 376–418 (1961).

    Article  MathSciNet  MATH  Google Scholar 

  4. Mcnaughton, R.: Unate Truth Functions. I.R.E. Trans. Elect. Comp. (EC-10), 1961, 1–6.

    Google Scholar 

  5. Winder, R. O.: Enumeration of Seven-Argument Threshold Functions. I.E.E.E. Trans. Elect. Comp. (EC-14). 1965, 315–325.

    Google Scholar 

  6. Mcculloch, W. S., and W. Parrs: A logical Calculus of the Ideas Immanent in Nervous Activity. Bull. Math. Biophys. (5), Sept. 1943, 115–133.

    Google Scholar 

  7. Cowan, J. D.: Neuronal Oscillators, Revised Version of a lecture given at the Norbert Wiener Memorial Meeting on the Idea of Control, Genoa, Italy, October 1965.

    Google Scholar 

  8. Caianiello, E. R., A. De Luca, and L. M. Ricciardi: Reverberations and Control of Neural Networks, Kybernetik 4, 10–18 (1967).

    Article  Google Scholar 

  9. Minorski, N.: Nonlinear Oscillations. Van Nostrand 1962. London.

    Google Scholar 

  10. Huffman, D. A.: The Synthesis of Sequential Switching Circuits. J. Franklin Inst. 257, 3 and 4.

    Google Scholar 

  11. Aplevicr, J. D.: Stability of Networks of Nonlinear Elements with Logical Properties. Ph. D. Thesis, University of London 1968.

    Google Scholar 

  12. Krohn, K., and J. Rhodes: Nets of Threshold Elements, Inf. and Cont. 8, 579–588 (1965).

    Article  MathSciNet  MATH  Google Scholar 

  13. Dewey, A. G.: Frequency Domain Stability Criteria for Non-linear Multi-variable Systems. Intern. J. Control 5, 1, 77–84 (1967).

    Article  Google Scholar 

  14. Popov, V. M.: Automat. Telemech., Moscow 22, 961 (1961).

    Google Scholar 

  15. Popov, V. M.: Automation and Remote Control 22, 857 (1962).

    Google Scholar 

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© 1968 Springer-Verlag Berlin · Heidelberg

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Aplevich, J.D. (1968). Models of Certain Nonlinear Systems. In: Caianiello, E.R. (eds) Neural Networks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87596-0_10

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  • DOI: https://doi.org/10.1007/978-3-642-87596-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-87598-4

  • Online ISBN: 978-3-642-87596-0

  • eBook Packages: Springer Book Archive

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