The number of equilibrium points and their basins of attraction of neural networks with a kind of cyclic connection matrix

Norikazu Takahashi, Tetsuo Nishi

Research output: Contribution to journalArticle

Abstract

A method of synthesis of mutually coupled neural networks possessing many equilibrium points whose basins of the attraction are of almost the same size is given. The connection matrix of the network is a cyclic matrix with all diagonal elements vanishing.

Original languageEnglish
Pages (from-to)101-104
Number of pages4
JournalResearch Reports on Information Science and Electrical Engineering of Kyushu University
Volume1
Issue number1
Publication statusPublished - Sep 1996
Externally publishedYes

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Neural networks

Keywords

  • Basin of attraction
  • Cyclic matrix
  • Hopfield neural networks
  • Memory capacity

ASJC Scopus subject areas

  • Hardware and Architecture
  • Engineering (miscellaneous)
  • Electrical and Electronic Engineering

Cite this

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abstract = "A method of synthesis of mutually coupled neural networks possessing many equilibrium points whose basins of the attraction are of almost the same size is given. The connection matrix of the network is a cyclic matrix with all diagonal elements vanishing.",
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