講演抄録/キーワード |
講演名 |
2013-12-06 12:40
Estimation of Lyapunov exponents of chaotic response in the Izhikevich neuron model ○Nozomi Sugiura・Kantaro Fujiwara(Saitama Univ.)・Ryosuke Hosaka(Fukuoka Univ.)・Kenya Jin'no(NIT)・Tohru Ikeguchi(Saitama Univ.) NLP2013-113 |
抄録 |
(和) |
(まだ登録されていません) |
(英) |
The Izhikevich neuron model is a mathematical neuron model that can reproduce various neural firing patterns, such as regular spiking, intrinsically bursting, fast spiking, chattering, and chaotic spiking.
In this report, we analyze the chaotic spiking of the Izhikevich neuron model. First, we defined the return map by the reset value of the recovery
variable after emitting a spike. Then, we identify the return map as a deterministic one-dimensional map. Second, we estimated the Lyapunov exponents from the return map. We also investigated the bifurcation structure and the Lyapunov exponents in case of changing the strength
of the input current to the neuron model. As a result, we verified the positive Lyapunov exponents exist in the parameter space. These results imply the existence of chaotic response in the Izhikevich neuron model. |
キーワード |
(和) |
/ / / / / / / |
(英) |
Izhikevich neuron model / chaos / bifurcation / Lyapunov exponent / / / / |
文献情報 |
信学技報, vol. 113, no. 341, NLP2013-113, pp. 1-6, 2013年12月. |
資料番号 |
NLP2013-113 |
発行日 |
2013-11-29 (NLP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
著作権に ついて |
技術研究報告に掲載された論文の著作権は電子情報通信学会に帰属します.(許諾番号:10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
PDFダウンロード |
NLP2013-113 |
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