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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
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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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)  
Keyword(1) Izhikevich neuron model  
Keyword(2) chaos  
Keyword(3) bifurcation  
Keyword(4) Lyapunov exponent  
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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Date Time 2013-12-06 12:40:00 
Presentation Time 25 
Registration for NLP 
Paper # IEICE-NLP2013-113 
Volume (vol) IEICE-113 
Number (no) no.341 
Page pp.1-6 
#Pages IEICE-6 
Date of Issue IEICE-NLP-2013-11-29 

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