Analysis of Limit-Cycles on Neural Networks with Asymmetrical Cyclic Connections Using Approximately Activation Functions

Shinya Suenaga, Yoshihiro Hayakawa, Koji Nakajima

研究成果: Chapter

抄録

We analyze the limit-cycles generated on the neural network with asymmetrical cyclic connections in continuous-time model. We analytically obtain the relations between the period of these limit-cycles and various parameters in the network using two kinds of approximately activation function, linear and high-gain limit. From consideration of these results, nonlinear characteristics appears to produce the region of attraction to the solution that has a main single-frequency component in various solution space that consists of the superposed solutions of the linear approximation,

本文言語English
ホスト出版物のタイトルLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
編集者Mircea Gh. Negoita, Robert J. Howlett, Lakhmi C. Jain
出版社Springer Verlag
ページ974-980
ページ数7
ISBN(印刷版)9783540301325
DOI
出版ステータスPublished - 2004 1月 1

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
3213
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンス(全般)

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