| Presentation | 2014-07-26 Evaluation of Chaotic Dynamics in Izhikevich Neuron Model using Lyapunov Exponent with Saltation Matrix Sou NOBUKAWA, Haruhiko NISHIMURA, Teruya YAMANISHI, Jian-Qin LIU, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Izhikevich neuron model, which combines continuous spike-generation mechanisms and discontinuous resetting process after spikes as a hybrid system, can reproduce major spike patterns observed in the cerebral cortex by only tuning a few parameters of it and also exhibit chaotic states in specific conditions. However, there are a few studies concerning the chaotic states over a large range of parameters due to the difficulty of dealing with the state dependent jump on the resetting process in this model. In this study, we examine the dependence of the system behavior on the resetting parameters by using Lyapunov exponent with saltation matrix and Poincare section methods, and classify the routes to chaos. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Izhikevich neuron model / chaos / saltation matrix / Lyapunov exponent |
| Paper # | NC2014-18 |
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| Committee | NC |
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| Conference Date | 2014/7/19(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Neurocomputing (NC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Evaluation of Chaotic Dynamics in Izhikevich Neuron Model using Lyapunov Exponent with Saltation Matrix |
| Sub Title (in English) | |
| Keyword(1) | Izhikevich neuron model |
| Keyword(2) | chaos |
| Keyword(3) | saltation matrix |
| Keyword(4) | Lyapunov exponent |
| 1st Author's Name | Sou NOBUKAWA |
| 1st Author's Affiliation | Graduate School for Nursing, University of Hyogo() |
| 2nd Author's Name | Haruhiko NISHIMURA |
| 2nd Author's Affiliation | Graduate School of Applied Informatics, University of Hyogo |
| 3rd Author's Name | Teruya YAMANISHI |
| 3rd Author's Affiliation | Department of Management Information Science, Fukui University of Technology |
| 4th Author's Name | Jian-Qin LIU |
| 4th Author's Affiliation | Center for Information and Neural Networks, National Institute of Information and Communications Technology |
| Date | 2014-07-26 |
| Paper # | NC2014-18 |
| Volume (vol) | vol.114 |
| Number (no) | 154 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |