| Presentation | 2014-03-10 Analysis of chaotic response in the Izhikevich neuron model using nonlinear prediction Nozomi SUGIURA, Kantaro FUJIWARA, 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 analyzed the chaotic behavior produced from the Izhikevich neuron model using deterministic nonlinear prediction. We applied the local linear predictors for the time series of the membrane potential and inter spike intervals in case of chaotic response. As a result, we can observe that the chaotic response exhibits a short-term predictability and long-term unpredictability. It indicates that we can extract the sensitive dependence on initial conditions, which is one of the essential characteristic of deterministic chaos, through inter spike intervals observed from the Izhikevich neuron model. On the other hand, we confirm that the predictability of the noisy periodic response does not depend on prediction steps. This result implies that the chaotic response is distinguishable from the noisy periodic response in the Izhikevich neuron model. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | neuron model / chaos / time series analysis / nonlinear prediction |
| Paper # | NLP2013-170 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2014/3/3(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) | Analysis of chaotic response in the Izhikevich neuron model using nonlinear prediction |
| Sub Title (in English) | |
| Keyword(1) | neuron model |
| Keyword(2) | chaos |
| Keyword(3) | time series analysis |
| Keyword(4) | nonlinear prediction |
| 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 | Tohru IKEGUCHI |
| 3rd Author's Affiliation | Graduate School of Science and Engineering, Saitama University:Saitama University Brain Science Institute |
| Date | 2014-03-10 |
| Paper # | NLP2013-170 |
| Volume (vol) | vol.113 |
| Number (no) | 486 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |