INVERTEDLY-BIFURCATING SELF-OSCILLATIONS IN THE MODIFIED HODGKIN-HUXLEY EQUATIONS.

Kouichi Ryu, Shu Ezaki, Kiyoshi Toko

研究成果: ジャーナルへの寄稿学術誌査読

1 被引用数 (Scopus)

抄録

Bifurcation characteristics in the modified Hodgkin-Huxley equations are investigated in detail on the basis of a recently presented theory, which can describe normally bifurcating as well as invertedly-bifurcating hard-mode instabilities. An algebraic-processing computer language was used to get analytic expressions in perturbative calculations up to the fifth order. The present theoretical results can describe the full bifurcation diagram for the case where normally and invertedly bifurcation diagram for the case where normally and invertedly bifurcating instability points coexist closely. It is also shown that the present theory can describe even an interesting example of the bifurcation diagram which is formed by a single continuous closed branch composed of unstable and stable self-oscillations without any instability point.

本文言語英語
ページ(範囲)9-53
ページ数45
ジャーナルMemoirs of the Kyushu University, Faculty of Engineering
43
1
出版ステータス出版済み - 1983
外部発表はい

!!!All Science Journal Classification (ASJC) codes

  • エネルギー(全般)
  • 大気科学
  • 地球惑星科学(全般)
  • 技術マネージメントおよび技術革新管理

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