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Paper Abstract and Keywords
Presentation 2018-08-09 11:10
Inferring the largest Lyapunov exponent from the symbolic dynamics of chaotic time series
Takaya Miyano, Kazuki Kajita (Ritsumeikan Univ.), Hiroshi Gotoda (TUS) NLP2018-68
Abstract (in Japanese) (See Japanese page) 
(in English) In existing methods for estimating the largest Lyapunov exponent from a time series, the rate of increment in the distance between initially neighboring trajectories reconstructed in embedding space from the series is used to estimate the exponent. In this study, we show an alternative method for estimating a surrogate measure for the largest Lyapunov exponent from the symbolic dynamics transformed from a time series without tracing neighboring trajectories in embedding space. The validity of the method is examined through numerical experiments.
Keyword (in Japanese) (See Japanese page) 
(in English) time series / Lyapunov exponent / symbolic dynamics / information entropy / randomly transitional oscillations / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 174, NLP2018-68, pp. 81-85, Aug. 2018.
Paper # NLP2018-68 
Date of Issue 2018-08-01 (NLP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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 2018-08-08 - 2018-08-09 
Place (in Japanese) (See Japanese page) 
Place (in English) Saiwai-cho Campus, Kagawa Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) etc. 
Paper Information
Registration To NLP 
Conference Code 2018-08-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Inferring the largest Lyapunov exponent from the symbolic dynamics of chaotic time series 
Sub Title (in English)  
Keyword(1) time series  
Keyword(2) Lyapunov exponent  
Keyword(3) symbolic dynamics  
Keyword(4) information entropy  
Keyword(5) randomly transitional oscillations  
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Keyword(8)  
1st Author's Name Takaya Miyano  
1st Author's Affiliation Ritsuemiakn University (Ritsumeikan Univ.)
2nd Author's Name Kazuki Kajita  
2nd Author's Affiliation Ritsuemiakn University (Ritsumeikan Univ.)
3rd Author's Name Hiroshi Gotoda  
3rd Author's Affiliation Tokyo University of Science (TUS)
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Speaker Author-1 
Date Time 2018-08-09 11:10:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2018-68 
Volume (vol) vol.118 
Number (no) no.174 
Page pp.81-85 
#Pages
Date of Issue 2018-08-01 (NLP) 


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