Paper Abstract and Keywords |
Presentation |
2017-07-14 14:25
Estimating Lyapunov Exponents for Reconstructed Two-dimensional Bifurcation Diagrams Yoshitaka Itoh, Masaharu Adachi (Tokyo Denki Univ.) NLP2017-46 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
We describe a method for reconstruction of two-dimensional bifurcation diagrams with Lyapunov exponents from only several time series data sets.
By reconstructing the bifurcation diagrams, we estimate the oscillatory patterns when parameters change.
To quantitatively evaluate the reconstruction, we have estimated the Lyapunov exponents for the reconstructed one-dimentional bifurcation diagrams.
In this paper, we estimate the Lyapunov exponents for the reconstructed two-dimentional bifurcation diagrams.
We also present the results of numerical experiments on comparison between the Lyapunov exponents of the original and reconstructed bifurcation diagrams. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
reconstruction of bifurcation diagram / time series predictor / chaos / extreme learning machine / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 117, no. 121, NLP2017-46, pp. 99-102, July 2017. |
Paper # |
NLP2017-46 |
Date of Issue |
2017-07-06 (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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NLP2017-46 |
Conference Information |
Committee |
NLP |
Conference Date |
2017-07-13 - 2017-07-14 |
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(See Japanese page) |
Place (in English) |
Miyako Island Marine Terminal |
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(See Japanese page) |
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etc. |
Paper Information |
Registration To |
NLP |
Conference Code |
2017-07-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Estimating Lyapunov Exponents for Reconstructed Two-dimensional Bifurcation Diagrams |
Sub Title (in English) |
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Keyword(1) |
reconstruction of bifurcation diagram |
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time series predictor |
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chaos |
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extreme learning machine |
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1st Author's Name |
Yoshitaka Itoh |
1st Author's Affiliation |
Tokyo Denki University (Tokyo Denki Univ.) |
2nd Author's Name |
Masaharu Adachi |
2nd Author's Affiliation |
Tokyo Denki University (Tokyo Denki Univ.) |
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Speaker |
Author-1 |
Date Time |
2017-07-14 14:25:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2017-46 |
Volume (vol) |
vol.117 |
Number (no) |
no.121 |
Page |
pp.99-102 |
#Pages |
4 |
Date of Issue |
2017-07-06 (NLP) |