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Paper Abstract and Keywords
Presentation 2013-07-08 15:45
Relationship between the attracting and repelling dynamics of canards and the precision of numerical computation
Takahiro Kodama, Shinji Doi (Kyoto Univ.) NLP2013-36
Abstract (in Japanese) (See Japanese page) 
(in English) In the singularly perturbed system, there are characteristic nonlinear oscillations called canards. Canards are periodic orbits which follow both the attracting and repelling parts of a nullcline. In this study, we analyze the theoretically impossible (chaotic) orbits appeared in numerical computation of canards. It has been shown that the lack of precision in numerical computations generates such theoretically impossible orbits. In this paper, we approximately calculate the attracting and repelling dynamics and quantitatively study the relationship between the precision of numerical computation and these dynamics.
Keyword (in Japanese) (See Japanese page) 
(in English) Singularly Perturbed System / Canard Solution / Asymptotic Analysis / High Precision Computation Library / Attracting and Repelling Dynamics / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 116, NLP2013-36, pp. 53-58, July 2013.
Paper # NLP2013-36 
Date of Issue 2013-07-01 (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)
Download PDF NLP2013-36

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) Relationship between the attracting and repelling dynamics of canards and the precision of numerical computation 
Sub Title (in English)  
Keyword(1) Singularly Perturbed System  
Keyword(2) Canard Solution  
Keyword(3) Asymptotic Analysis  
Keyword(4) High Precision Computation Library  
Keyword(5) Attracting and Repelling Dynamics  
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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Date Time 2013-07-08 15:45:00 
Presentation Time 25 
Registration for NLP 
Paper # IEICE-NLP2013-36 
Volume (vol) IEICE-113 
Number (no) no.116 
Page pp.53-58 
#Pages IEICE-6 
Date of Issue IEICE-NLP-2013-07-01 

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