Limit cycles of one-dimensional neural networks with the cyclic connection matrix

Cheol Young Park, Yoshihiro Hayakawa, Koji Nakajima, Yasuji Sawada

Research output: Contribution to journalConference article

8 Citations (Scopus)

Abstract

In this paper, a simple method to investigate the dynamics of continuous-time neural networks based on the force(kinetic vector) derived from the equation of motion for neural networks instead of the energy function of the system has been described. The number of equilibrium points and limit cycles of one-dimensional neural networks with the asymmetric cyclic connection matrix has been investigated experimently by this method. Some types of equilibrium points and limit cycles have been theoretically analyzed. The relations between the properties of limit cycles and the number of connections also have been discussed.

Original languageEnglish
Pages (from-to)752-757
Number of pages6
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE79-A
Issue number6
Publication statusPublished - 1996 Jun 1
EventProceedings of the 1995 Joint Technical Conference on Circuits/Systems, Computers and Communications (JTC-CSCC'95) - Kanazawa, Jpn
Duration: 1996 Sep 181996 Sep 21

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

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