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| Presentation | 2007-12-20 13:00 Nonlinear Quantization Analysis of Chaos produced by the (m+1) Order Mapping Functions and their Predictability I Jiguo Dong (uec), Takako Yamada (KG), Katsufusa Shono  NLP2007-124 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Internal state $x_t$ was calculated for $(m+1)$ order mapping function $x_{t+1}=\frac{(m+1)^{m+1}}{m^m}x_t(1-x_t)^m$, $0<m\le 4$, were the internal state $x_t$ was normaliged within $0<x_t<1$, by employing the floating point 64 bit, effective measure 52 bit. Lyapunov exponet $\lambda={\it ln}L$ was obtained. Quantum number of $[L^n]$, where $n$ is the resolution and $n=8$ or 9, was employed to obtain the integer time series $Y_{t,n}$, as a result to keep uniform distribution. The two or more transfer characteristics were superimposed in each other and quantization analysis were performed. On the integer time series for $m=4$, gradual increasings and rapid decreasings were rapidly repeated. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | chaos / floating point calculation / nonlinear quantization / predictability / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 107, no. 400, NLP2007-124, pp. 21-26, Dec. 2007. | |
| Paper # | NLP2007-124 | |
| Date of Issue | 2007-12-13 (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) | |
| Download PDF | NLP2007-124 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2007-12-19 - 2007-12-20 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2007-12-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Nonlinear Quantization Analysis of Chaos produced by the (m+1) Order Mapping Functions and their Predictability I |
| Sub Title (in English) | |
| Keyword(1) | chaos |
| Keyword(2) | floating point calculation |
| Keyword(3) | nonlinear quantization |
| Keyword(4) | predictability |
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| 1st Author's Name | Jiguo Dong |
| 1st Author's Affiliation | The University of Electro-Communications (uec) |
| 2nd Author's Name | Takako Yamada |
| 2nd Author's Affiliation | KWANSEI GAKUIN University (KG) |
| 3rd Author's Name | Katsufusa Shono |
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| Speaker | Author-1 |
| Date Time | 2007-12-20 13:00:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2007-124 |
| Volume (vol) | vol.107 |
| Number (no) | no.400 |
| Page | pp.21-26 |
| #Pages | 6 |
| Date of Issue | 2007-12-13 (NLP) |
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