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 |
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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NLP2019-36 |
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 |
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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) |
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Keyword(1) |
logistic map |
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unstable periodic point |
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chaos |
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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 |
Author-1 |
Date Time |
2019-09-23 09:50:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2019-36 |
Volume (vol) |
vol.119 |
Number (no) |
no.209 |
Page |
pp.11-14 |
#Pages |
4 |
Date of Issue |
2019-09-16 (NLP) |
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