Paper Abstract and Keywords |
Presentation |
2007-08-07 14:10
Nonlinear quantization Analysis of Chaos Generated from Mapping Functions Jiguo Dong (uec), Takako Yamada (KG), Katsufusa Shono NLP2007-59 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Chaos were generated by calculating repeatedly mapping functions with fixed point calculation keeping 128 bit calculation capability, defined in $0\sim1$ normalized area. Internal states $x_t$ have uniquely distorted distributions of nonlinear characteristics. Linear relationship, as a result, or uniform distributions were obtained by giving quantization divisions of $[L^n]$ ($n$ is quantization resolution), where $L$ is Lyapunov exponet $\lambda=\it{ln}L$, and integer time series $Y_{t,n}$ obtained are consistent with the time series $x_t$. Network $Y_{t,n}\ -\ \{Y_{t,1}\}_n$, where $\{Y_{t,1}\}_n=L^{n-1}Y_{t,1}+L^{n-2}Y_{t+1,1}+...+L^{0}Y_{t+n-1,1}$, produces unique relation including fractal and $n$ step predictions are observed. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
chaos / logistic map / fixed point calculation / nonlinear quantization / predictability / / / |
Reference Info. |
IEICE Tech. Rep., vol. 107, no. 185, NLP2007-59, pp. 33-37, Aug. 2007. |
Paper # |
NLP2007-59 |
Date of Issue |
2007-07-31 (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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NLP2007-59 |
Conference Information |
Committee |
NLP |
Conference Date |
2007-08-06 - 2007-08-07 |
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(See Japanese page) |
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Paper Information |
Registration To |
NLP |
Conference Code |
2007-08-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Nonlinear quantization Analysis of Chaos Generated from Mapping Functions |
Sub Title (in English) |
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chaos |
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logistic map |
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fixed point calculation |
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nonlinear quantization |
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predictability |
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1st Author's Name |
Jiguo Dong |
1st Author's Affiliation |
The University of Electro-Communications (uec) |
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Takako Yamada |
2nd Author's Affiliation |
KWANSEI GAKUIN University (KG) |
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Katsufusa Shono |
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Speaker |
Author-1 |
Date Time |
2007-08-07 14:10:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2007-59 |
Volume (vol) |
vol.107 |
Number (no) |
no.185 |
Page |
pp.33-37 |
#Pages |
5 |
Date of Issue |
2007-07-31 (NLP) |
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