Self-excited oscillations and period doubling condition in Hopfield neural network

Sergiy A. Vorobyov, Andrzej Cichocki

Research output: Contribution to conferencePaperpeer-review

Abstract

A simple dynamic neural network is considered. The behavior of neural network is investigated by analyzing the associated characteristic equation for the case of exterior influence absence and for the case of exterior influence action. It is shown that for the first case the system that consists of two neurons can generate self-excited oscillations and for the second case the condition for period doubling was obtained. It is shown that for dynamical neural networks exist simple mechanisms for chaos appearance for the network as a whole.

Original languageEnglish
Pages197-200
Number of pages4
Publication statusPublished - 2000
Externally publishedYes
Event2nd Interntional Conference on Control of Oscillations and Chaos (COC 2000) - ST. Petersburg, Russia
Duration: 5 Jul 20007 Jul 2000

Conference

Conference2nd Interntional Conference on Control of Oscillations and Chaos (COC 2000)
CityST. Petersburg, Russia
Period5/07/007/07/00

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