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Paper Abstract and Keywords
Presentation 2019-09-23 09:50
Numerical calculation of unstable periodic points in the logistic map based on the symbolic dynamics
Yuu Miino (Tokyo Univ. of Tech.), Tetsushi Ueta (Tokushima Univ.) NLP2019-36
Abstract (in Japanese) (See Japanese page) 
(in English) In this study, we propose a numerical method to calculate unstable periodic points in the chaos of the logistic map. The method is based on symbolic dynamics. We define two maps whose inverted map is the logistic map to make the orbit of the system have a degree of freedom, and derive the UPP corresponding to an arbitrary sequence. In numerical experiments, we derive the periodic points with the period of 1-6, 10, and 20 and confirm the validity of the proposed method. We also introduce an index to guarantee the convergence of the calculation and evaluate the adaptivity of the method.
Keyword (in Japanese) (See Japanese page) 
(in English) logistic map / unstable periodic point / chaos / numerical analysis / symbolic dynamics / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 209, NLP2019-36, pp. 11-14, Sept. 2019.
Paper # NLP2019-36 
Date of Issue 2019-09-16 (NLP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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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 2019-09-23 - 2019-09-24 
Place (in Japanese) (See Japanese page) 
Place (in English) Eikokuji Campus, University of Kochi 
Topics (in Japanese) (See Japanese page) 
Topics (in English) etc. 
Paper Information
Registration To NLP 
Conference Code 2019-09-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Numerical calculation of unstable periodic points in the logistic map based on the symbolic dynamics 
Sub Title (in English)  
Keyword(1) logistic map  
Keyword(2) unstable periodic point  
Keyword(3) chaos  
Keyword(4) numerical analysis  
Keyword(5) symbolic dynamics  
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1st Author's Name Yuu Miino  
1st Author's Affiliation Tokyo University of Technology (Tokyo Univ. of Tech.)
2nd Author's Name Tetsushi Ueta  
2nd Author's Affiliation Tokushima University (Tokushima Univ.)
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Speaker
Date Time 2019-09-23 09:50:00 
Presentation Time 25 
Registration for NLP 
Paper # IEICE-NLP2019-36 
Volume (vol) IEICE-119 
Number (no) no.209 
Page pp.11-14 
#Pages IEICE-4 
Date of Issue IEICE-NLP-2019-09-16 


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