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| Paper Abstract and Keywords | ||
| Presentation | 2013-01-24 14:30 Calculating finite-time Lyapunov exponents in time delayed dynamical systems Kazutaka Kanno, Atsushi Uchida (Saitama Univ.)  NLP2012-116 NC2012-106 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Lyapunov exponents represents a exponential expansion (construction) rate of a in nitesimal perturbation to an orbit of a dynamical system, which are asymptotic values over an attractor of the system. Finite-time Lyapunov exponents have been proposed to quantify the exponential expansion (construction) rate for nite orbits. We can obtain some information which is useful for classi cation of chaos dynamics, chaos control, and prediction. However, a method for calculation of the nite-time Lyapunov exponents in time-delayed dynamical systems have not been well established yet because of the difficulty of calculating Lyapunov exponents in time-delayed high-dimensional systems. We present a method for calculating the nite-time Lyapunov exponents in time-delayed dynamical systems, and apply it to a Mackey-Glass model, an optpelectronic feedback laser system and a Lang-Kobayashi equation for a semiconductor laser with optical feedback. We investigate standard deviation of the fnite-time Lyapunov exponents for the variation of a length of a orbit. It is found that the standard deviation approaches to zero as nite time L, and this approach is as L^{-0.5}. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | time delayed dynamical system / chaos / finite-time Lyapunov exponent / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 112, no. 389, NLP2012-116, pp. 73-78, Jan. 2013. | |
| Paper # | NLP2012-116 | |
| Date of Issue | 2013-01-17 (NLP, NC) | |
| 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 | NLP2012-116 NC2012-106 |
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| Conference Information | |
| Committee | NC NLP |
| Conference Date | 2013-01-24 - 2013-01-25 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Hokkaido University Centennial Memory Hall |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2013-01-NC-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Calculating finite-time Lyapunov exponents in time delayed dynamical systems |
| Sub Title (in English) | |
| Keyword(1) | time delayed dynamical system |
| Keyword(2) | chaos |
| Keyword(3) | finite-time Lyapunov exponent |
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| 1st Author's Name | Kazutaka Kanno |
| 1st Author's Affiliation | Saitama University (Saitama Univ.) |
| 2nd Author's Name | Atsushi Uchida |
| 2nd Author's Affiliation | Saitama University (Saitama Univ.) |
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| Speaker | Author-1 |
| Date Time | 2013-01-24 14:30:00 |
| Presentation Time | 20 minutes |
| Registration for | NLP |
| Paper # | NLP2012-116, NC2012-106 |
| Volume (vol) | vol.112 |
| Number (no) | no.389(NLP), no.390(NC) |
| Page | pp.73-78 |
| #Pages | 6 |
| Date of Issue | 2013-01-17 (NLP, NC) |
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