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Paper Abstract and Keywords
Presentation 2013-07-08 14:55
Chaotic response of the Izhikevich neuron model and its statistical analysis
Nozomi Sugiura, Kantaro Fujiwara (Saitama Univ.), Ryosuke Hosaka (Fukuoka Univ.), Tohru Ikeguchi (Saitama Univ.) NLP2013-34
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 analyze the chaotic behavior of the neuron model. First, we evaluated the maximal Lyapunov exponent. Second, we observed the inter spike intervals from the membrane potential of the model, and estimated its frequency histogram. The results show that the maximal Lyapunov exponent becomes a positive value and that the frequency histogram of inter spike intervals in case of chaotic response exhibits a wide distribution. Finally, we proposed a measure for evaluating a variety of the inter spike intervals with investigating the bifurcation structure of the neuron model. As a result, we can identify the region of chaotic responses of the Izhikevich neuron model.
Keyword (in Japanese) (See Japanese page) 
(in English) neuron model / chaos / bifurcation / inter spike interval / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 116, NLP2013-34, pp. 43-48, July 2013.
Paper # NLP2013-34 
Date of Issue 2013-07-01 (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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Conference Information
Committee NLP  
Conference Date 2013-07-08 - 2013-07-09 
Place (in Japanese) (See Japanese page) 
Place (in English) Miyako Island Marine Terminal 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2013-07-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Chaotic response of the Izhikevich neuron model and its statistical analysis 
Sub Title (in English)  
Keyword(1) neuron model  
Keyword(2) chaos  
Keyword(3) bifurcation  
Keyword(4) inter spike interval  
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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 Tohru Ikeguchi  
4th Author's Affiliation Saitama University (Saitama Univ.)
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Speaker Author-1 
Date Time 2013-07-08 14:55:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2013-34 
Volume (vol) vol.113 
Number (no) no.116 
Page pp.43-48 
#Pages 6 
Date of Issue 2013-07-01 (NLP) 

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