| Presentation | 2013-07-08 Chaotic response of the Izhikevich neuron model and its statistical analysis Nozomi SUGIURA, Kantaro FUJIWARA, Ryosuke HOSAKA, Tohru IKEGUCHI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The Izhikevich neuron model is a mathematical model that can reproduce various neural firing patterns, such as regular spiking, intrinsically bursting, fast spiking, chattering, and chaos. In this report, we analyze the chaotic behavior of the neuron model. First, we evaluated the maximal Lyapunov exponent. Second, we observed the inter spike intervals from the membrane potential of the model, and estimated its frequency histogram. The results show that the maximal Lyapunov exponent becomes a positive value and that the frequency histogram of inter spike intervals in case of chaotic response exhibits a wide distribution. Finally, we proposed a measure for evaluating a variety of the inter spike intervals with investigating the bifurcation structure of the neuron model. As a result, we can identify the region of chaotic responses of the Izhikevich neuron model. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | neuron model / chaos / bifurcation / inter spike interval |
| Paper # | NLP2013-34 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2013/7/1(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) | Chaotic response of the Izhikevich neuron model and its statistical analysis |
| Sub Title (in English) | |
| Keyword(1) | neuron model |
| Keyword(2) | chaos |
| Keyword(3) | bifurcation |
| Keyword(4) | inter spike interval |
| 1st Author's Name | Nozomi SUGIURA |
| 1st Author's Affiliation | Faculty of Engineering, Saitama University() |
| 2nd Author's Name | Kantaro FUJIWARA |
| 2nd Author's Affiliation | Graduate School of Science and Engineering, Saitama University |
| 3rd Author's Name | Ryosuke HOSAKA |
| 3rd Author's Affiliation | Faculty of Science, Fukuoka University |
| 4th Author's Name | Tohru IKEGUCHI |
| 4th Author's Affiliation | Graduate School of Science and Engineering, Saitama University:Saitama University Brain Science Institute |
| Date | 2013-07-08 |
| Paper # | NLP2013-34 |
| Volume (vol) | vol.113 |
| Number (no) | 116 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |