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J-GLOBAL ID:200902139877428761   Reference number:98A0292825

Global Bifurcation Structure of Periodic Solutions in Hodgkin-Huxley Equations.

Hodgkin-Huxley方程式の周期解の大域的分岐構造
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Volume:Issue:Page: 83-91  Publication year: Jun. 1997 
JST Material Number: L3334A  ISSN: 1340-766X  Document type: Article
Article type: 原著論文  Country of issue: Japan (JPN)  Language: JAPANESE (JA)
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Brain and nervous system models 
Reference (19):
  • 1) Hodgkin, A. L. and Huxley, A. F.(1952): A quantitative description of membrane current and its application to conduction and excitation in nerve, J. Physiol., Vol. 117, pp. 500-544
  • 2) Hassard, B. D. and Shiau, L. J.(1989): Isolated periodic solutions of the Hodgkin-Huxley equations, J. Theor. Biol., Vol. 136, pp. 267-280
  • 3) Shiau, L. J. and Hassard, B.(1991): Degenerate Hopf bifurcation and isolated periodic solutions of the Hodgkin-Huxley model with varying Sodium Ion Concentration, J. Theor. Biol., Vol. 148, pp. 157-173
  • 4) 深井英和, 土居伸二, 佐藤俊輔(1996): Hodgkin-Huxley方程式における孤立周期解の分岐について, 信学技法, NLP95-82
  • 5) 松本 元(1982): 神経興奮の現象と実体(上, 下). 東京 : 丸善
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