Paper Abstract and Keywords |
Presentation |
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 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
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. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Izhikevich neuron model / chaos / bifurcation / Lyapunov exponent / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 113, no. 341, NLP2013-113, pp. 1-6, Dec. 2013. |
Paper # |
NLP2013-113 |
Date of Issue |
2013-11-29 (NLP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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NLP2013-113 |
Conference Information |
Committee |
NLP |
Conference Date |
2013-12-06 - 2013-12-07 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
City University of Hong Kong |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
General |
Paper Information |
Registration To |
NLP |
Conference Code |
2013-12-NLP |
Language |
English |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Estimation of Lyapunov exponents of chaotic response in the Izhikevich neuron model |
Sub Title (in English) |
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Keyword(1) |
Izhikevich neuron model |
Keyword(2) |
chaos |
Keyword(3) |
bifurcation |
Keyword(4) |
Lyapunov exponent |
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1st Author's Name |
Nozomi Sugiura |
1st Author's Affiliation |
Saitama University (Saitama Univ.) |
2nd Author's Name |
Kantaro Fujiwara |
2nd Author's Affiliation |
Saitama University (Saitama Univ.) |
3rd Author's Name |
Ryosuke Hosaka |
3rd Author's Affiliation |
Fukuoka University (Fukuoka Univ.) |
4th Author's Name |
Kenya Jin'no |
4th Author's Affiliation |
Nippon Institute Of Technology (NIT) |
5th Author's Name |
Tohru Ikeguchi |
5th Author's Affiliation |
Saitama University (Saitama Univ.) |
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Speaker |
Author-1 |
Date Time |
2013-12-06 12:40:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2013-113 |
Volume (vol) |
vol.113 |
Number (no) |
no.341 |
Page |
pp.1-6 |
#Pages |
6 |
Date of Issue |
2013-11-29 (NLP) |
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