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Paper Abstract and Keywords
Presentation 2014-03-10 13:30
Analysis of chaotic response in the Izhikevich neuron model using nonlinear prediction
Nozomi Sugiura, Kantaro Fujiwara, Tohru Ikeguchi (Saitama Univ.) NLP2013-170
Abstract (in Japanese) (See Japanese page) 
(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) 
(in English) neuron model / chaos / time series analysis / nonlinear prediction / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 486, NLP2013-170, pp. 31-36, March 2014.
Paper # NLP2013-170 
Date of Issue 2014-03-03 (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 2014-03-10 - 2014-03-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Sophia University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2014-03-NLP 
Language Japanese 
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 Saitama University (Saitama Univ.)
2nd Author's Name Kantaro Fujiwara  
2nd Author's Affiliation Saitama University (Saitama Univ.)
3rd Author's Name Tohru Ikeguchi  
3rd Author's Affiliation Saitama University (Saitama Univ.)
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Date Time 2014-03-10 13:30:00 
Presentation Time 25 
Registration for NLP 
Paper # IEICE-NLP2013-170 
Volume (vol) IEICE-113 
Number (no) no.486 
Page pp.31-36 
#Pages IEICE-6 
Date of Issue IEICE-NLP-2014-03-03 

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