On a Slow Phase-Locked Oscillation in Globally Coupled Neuronal Oscillators (II)

• TSUNEKI, Ryotaro

• DOI, Shinji

Bibliographic Information

Other Title

• 神経振動子の大域結合系における遅い同期振動について(II)
• 神経振動子の大域結合系における遅い同期振動について(2)
• シンケイ シンドウシ ノ ダイイキ ケツゴウケイ ニ オケル オソイ ドウキ シンドウ ニ ツイテ(2)

Abstract

We examine the dynamics in a population of globally coupled neuronal oscillators using the three-dimensional Bonhoeffer-van der Pol equations, which are the simpler single neuron model than the famous Hodgkin-Huxley equations. We have shown that there are interesting phenomena such as slow phase-locked oscillation (compared with the inherent period of each uncoupled oscillator) and the death of all oscillations. In particular, this slow synchronization is caused by the existence of "fast" oscillators. In this report, we discuss the generation mechanism of this slow oscillation by analyzing the stability of the equilibrium point.

Journal

• 電子情報通信学会技術研究報告. NLP, 非線形問題

  電子情報通信学会技術研究報告. NLP, 非線形問題 112 (117), 35-39, 2012-07

  一般社団法人 電子情報通信学会

Keywords

• 遅い同期振動
• 大域結合系
• 神経振動子
• 特異摂動系
• 安定解析

Details

• CRID: 1050845760735211264
• NII Article ID: 110009626140
• NII Book ID: AN10060800
• ISSN: 09135685
• HANDLE: 2433/193908
• NDL BIB ID: 023871827
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I023871827
• Text Lang: ja
• Article Type: journal article
• Data Source:
  • IRDB
  • NDL
  • CiNii Articles
  • KAKEN