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Paper Abstract and Keywords
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
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.
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

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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