| Presentation | 2002/8/27 Analysis of very slow neuronal rhythm through a Hopf bifurcation Yusuke NII, Shinji DOI, Sadatoshi KUMAGAI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Bonfoeffer-van der Pol (BVP) equation is a typical and simplified model which represents electrical excitation phenomena of a neuron. Using Bonhoeffer-van der Pol (BVP) equations extended to three variables, which are modeled by focusing on several underlying processes with different time scales in biological phenomena, we analyze the generation and regulation mechanism of neuronal rhythm. Especially, it is shown that this single neuron model can produce an extraordinarily slow oscillation nearby a Hopf bifurcation. Such neuronal rhythm is analyzed from a viewpoint of the bifurcation theory. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Bonhoeffer-van der Pol equations / singular Hopf bifurcation / slow oscillation / homoclinic bifurcation |
| Paper # | CAS2002-50 |
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| Committee | CAS |
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| Conference Date | 2002/8/27(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Circuits and Systems (CAS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Analysis of very slow neuronal rhythm through a Hopf bifurcation |
| Sub Title (in English) | |
| Keyword(1) | Bonhoeffer-van der Pol equations |
| Keyword(2) | singular Hopf bifurcation |
| Keyword(3) | slow oscillation |
| Keyword(4) | homoclinic bifurcation |
| 1st Author's Name | Yusuke NII |
| 1st Author's Affiliation | Department of Electrical Engineering, Osaka University() |
| 2nd Author's Name | Shinji DOI |
| 2nd Author's Affiliation | Department of Electrical Engineering, Osaka University |
| 3rd Author's Name | Sadatoshi KUMAGAI |
| 3rd Author's Affiliation | Department of Electrical Engineering, Osaka University |
| Date | 2002/8/27 |
| Paper # | CAS2002-50 |
| Volume (vol) | vol.102 |
| Number (no) | 295 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |