| Presentation | 2003/5/1 Bifurcations of Bursting in 3-Dimensional Autonomous Neuron Model Shigeki TSUJI, Tetsushi UETA, Hiroshi KAWAKAMI, Kazuyuki AIHARA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Bursting response observed in nerve membranes is regarded to be important when the information representation problem in brain is considered. Until now, various bursting responses are illustrated in the mathematical model, and accordingly their related bifurcation mechanisms have been clarified. In this paper, firstly we propose a simple neuron model which indicates excitability of Class 1 and Class 2, based on BVP neuron model, and analyze the bifurcations in this model. Secondly, we construct a 3-dimensional autonomous neuron model which has generating mechanism of Class 1 bursting, based on information of bifurcation structures in a proposing 2-dimensional model. Consequently, we explained different spike number of bursting in some regions which exist continuously in the parameter plane, formed by tangent and period doubling bifurcation curves. Moreover, we confirmed that periodic bursting response becomes chaotic bursting response via period-doubling cascade. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Neuron Model / Bursting / Bifurcation |
| Paper # | NLP2003-5 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2003/5/1(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Bifurcations of Bursting in 3-Dimensional Autonomous Neuron Model |
| Sub Title (in English) | |
| Keyword(1) | Neuron Model |
| Keyword(2) | Bursting |
| Keyword(3) | Bifurcation |
| 1st Author's Name | Shigeki TSUJI |
| 1st Author's Affiliation | Faculty of Engineering, Tokushima University() |
| 2nd Author's Name | Tetsushi UETA |
| 2nd Author's Affiliation | Center for Advanced Information Technology, Tokushima University |
| 3rd Author's Name | Hiroshi KAWAKAMI |
| 3rd Author's Affiliation | Faculty of Engineering, Tokushima University |
| 4th Author's Name | Kazuyuki AIHARA |
| 4th Author's Affiliation | Faculty of Engineering, Tokyo University |
| Date | 2003/5/1 |
| Paper # | NLP2003-5 |
| Volume (vol) | vol.103 |
| Number (no) | 37 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |