Part 2. Special Issues in Intellectual Systems Theory

On limit cycles of homogeneous neural networks

A. S. Drobyshev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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