Presentation 1999/2/8
Bifurcation analysis of the Hodgkin-Huxley equation with its time scale changes
Shuhei Nabetani, Shinji Doi, Sadatoshi Kumagai,
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Abstract(in English) The Hodgkin-Huxley (HH) equation of the model of squid giant axon is the representative and the core model among various HH-type models of neurons or other cells. The HH equation is clearly demonstrated to show various oscillation phenomena by simply changing its time constants. The bifurcation structure of the equation is analyzed in detail using the AUTO program to clarify the generation mechanism of the complex oscillation patterns.
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Keyword(in English) Hodgkin-Huxley equation / nonlinear oscillation / double-cycle bifurcation / period-doubling bifurcation
Paper # NLP98-103
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Committee NLP
Conference Date 1999/2/8(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Bifurcation analysis of the Hodgkin-Huxley equation with its time scale changes
Sub Title (in English)
Keyword(1) Hodgkin-Huxley equation
Keyword(2) nonlinear oscillation
Keyword(3) double-cycle bifurcation
Keyword(4) period-doubling bifurcation
1st Author's Name Shuhei Nabetani
1st Author's Affiliation Department of Electrical Engineering, Faculty of Engineering, Osaka University()
2nd Author's Name Shinji Doi
2nd Author's Affiliation Department of Electrical Engineering, Faculty of Engineering, Osaka University
3rd Author's Name Sadatoshi Kumagai
3rd Author's Affiliation Department of Electrical Engineering, Faculty of Engineering, Osaka University
Date 1999/2/8
Paper # NLP98-103
Volume (vol) vol.98
Number (no) 582
Page pp.pp.-
#Pages 8
Date of Issue