On a slow phase-locked oscillation in globally coupled neuronal oscillators

• 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
• シンケイ シンドウシ ノ タイイキ ケツゴウケイ ニ オケル オソイ ドウキ シンドウ ニ ツイテ

Abstract

A population of neuronal oscillators globally coupled through a common buffer (a mean field) was analyzed using the Hodgkin-Huxley (HH) equations, which are famous as a single neuron model. In the system, it was observed that they oscillate in a phase-locked state very slowly compared with the inherent periods of each uncoupled neuronal oscillator or their firing are inhibited completely. However, the generation mechanism of these phenomena is not clear. In this study, a population of globally coupled neuronal oscillators is analyzed using the three dimensional Bonhoeffer-van der Pol equations, which are the simpler single neuron model than the HH equations. Similarly to the case of the HH equations, there are interesting phenomena such as very slow phase-locked oscillation (compared with the inherent periods of each uncoupled neuron oscillator) or the death of all oscillations. In particular, it may sound strange, but this slow phase-locked oscillation is caused by the existence of fast oscillators. We also analyze what interactions between neuronal oscillators generate this macroscopic biological rhythm.

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 111 (276), 135-140, 2011-11

  一般社団法人 電子情報通信学会

Keywords

• 大域結合系
• 遅い同期振動
• 神経振動子
• 特異摂動系
• ホップ分岐

Details

• CRID: 1050564285756023040
• NII Article ID: 110009465773
• NII Article ID: 120005540596
• NII Book ID: AN10060800
• ISSN: 09135685
• HANDLE: 2433/193877
• NDL BIB ID: 023345881
• Web Site: http://id.ndl.go.jp/bib/023345881
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I023345881
• Text Lang: ja
• Article Type: journal article
• Data Source:
  • IRDB
  • NDL
  • CiNii Articles
  • KAKEN