On limit cycles of homogeneous neural networks

Drobyshev Alexander Sergeevich

On limit cycles of homogeneous neural networks

Drobyshev A. S.

Drobyshev Alexander Sergeevich

graduate student, Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Chair of Mathematical Theory of Intellectual Systems

Published: 2024, vol. 28, issue 4, pp. 33–45

Download full text (In Russian)

Abstract

The paper considers a formal model of neural networks in which each neuron is represented as an automaton consisting of a threshold Boolean function and a time delay. The criterion of belonging of the starting configuration to the limit cycle is proved.

Keywords: neural networks, threshold functions, boolean circuits, limit cycles.

BibTeX

@article{IS-Drobyshev2024,
  author  = {Drobyshev, Alexander Sergeevich},
  title   = {{On limit cycles of homogeneous neural networks}},
  journal = {Intelligent Systems. Theory and Applications},
  year    = {2024},
  volume  = {28},
  number  = {4},
  pages   = {33--45},
}

AMSBIB

\Bibitem{IS-Drobyshev2024}
\by A.\,S.~Drobyshev
\paper On limit cycles of homogeneous neural networks
\jour Intelligent Systems. Theory and Applications
\yr 2024
\vol 28
\issue 4
\pages 33--45
\lang In Russian

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