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Paper Abstract and Keywords
Presentation 2012-12-17 16:40
On numerical computation of canard solution in a singularly perturbed system
Takahiro Kodama, Shinji Doi (Kyoto Univ.) NLP2012-96
Abstract (in Japanese) (See Japanese page) 
(in English) In singularly perturbed systems such as the Bonhoeffer-van der Pol (BVP) neuronal model, there are characteristic phenomena such as canards. In the two-dimensional BVP equations, theoretically impossible (chaotic) types of canards have been found by numerical computations. It has been shown that the lack of precision in numerical computations generates such theoretically impossible orbits, since such orbits are not generated in high precision computation. In this study, we analyze relationship between accuracy of the numerical method and the canards in detail. Furthermore, we analyze canards in the three-dimensional system using the high precision computation library.
Keyword (in Japanese) (See Japanese page) 
(in English) Singularly Perturbed System / Canard Solution / Asymptotic Analysis / High Precision Computation Library / / / /  
Reference Info. IEICE Tech. Rep., vol. 112, no. 363, NLP2012-96, pp. 45-50, Dec. 2012.
Paper # NLP2012-96 
Date of Issue 2012-12-10 (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 2012-12-17 - 2012-12-18 
Place (in Japanese) (See Japanese page) 
Place (in English) Fukui City Communication Plaza 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2012-12-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On numerical computation of canard solution in a singularly perturbed system 
Sub Title (in English)  
Keyword(1) Singularly Perturbed System  
Keyword(2) Canard Solution  
Keyword(3) Asymptotic Analysis  
Keyword(4) High Precision Computation Library  
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1st Author's Name Takahiro Kodama  
1st Author's Affiliation Kyoto University (Kyoto Univ.)
2nd Author's Name Shinji Doi  
2nd Author's Affiliation Kyoto University (Kyoto Univ.)
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Speaker Author-1 
Date Time 2012-12-17 16:40:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2012-96 
Volume (vol) vol.112 
Number (no) no.363 
Page pp.45-50 
#Pages 6 
Date of Issue 2012-12-10 (NLP) 

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