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| Presentation | 2012-03-28 11:10 Network Structure Design for Synchronization of Nonlinear Systems with Time-delay Couplings Momoko Nakamura, Toshiki Oguchi (TMU)  NLP2011-155 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | This paper considers the synchronization problem in networks of chaotic systems with diffusive delay couplings. We know an estimation method of the full synchronization region concerning the coupling strength and the time-delay for coupled systems with general network structures. The method is based on the eigenvalues of the corresponding graph Laplacian and the synchronization condition can be obtained by scaling the synchronization condition for two mutually coupled systems with respect to the couping strength. In the graph theory, the graph Laplacian of the Cartesian product of two graphs is equal to the Kronecker sum of graph Laplacians corresponding to the original two graphs. Using this property, we propose how to design a network structure such that the network is completely synchronized under the same synchronization condition as a smaller size of network. Unlike conventional approaches to the synchronization problem, this study focuses on the synthesis problem of network synchronization. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | synchronization / graph Laplacian / structure design / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 111, no. 498, NLP2011-155, pp. 79-82, March 2012. | |
| Paper # | NLP2011-155 | |
| Date of Issue | 2012-03-20 (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 | NLP2011-155 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2012-03-27 - 2012-03-28 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Fukue Cultural Hall |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | General |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2012-03-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Network Structure Design for Synchronization of Nonlinear Systems with Time-delay Couplings |
| Sub Title (in English) | |
| Keyword(1) | synchronization |
| Keyword(2) | graph Laplacian |
| Keyword(3) | structure design |
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| 1st Author's Name | Momoko Nakamura |
| 1st Author's Affiliation | Tokyo Metropolitan University (TMU) |
| 2nd Author's Name | Toshiki Oguchi |
| 2nd Author's Affiliation | Tokyo Metropolitan University (TMU) |
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| Speaker | Author-1 |
| Date Time | 2012-03-28 11:10:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2011-155 |
| Volume (vol) | vol.111 |
| Number (no) | no.498 |
| Page | pp.79-82 |
| #Pages | 4 |
| Date of Issue | 2012-03-20 (NLP) |
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