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Paper Abstract and Keywords
Presentation 2011-03-11 16:10
Theoretical analysis on periodicity and randomness of time series generated from complex netowrks
Yuta Haraguchi, Yutaka Shimada, Tohru Ikeguchi, Takaomi Shigehara (Saitama Univ.) NLP2010-195
Abstract (in Japanese) (See Japanese page) 
(in English) A bridge between the complex network theory and the nonlinear dynamical system theory has been discussed to establish a novel framework for analyzing real complex phenomena from a different viewpoint.
In this framework, several methods have been proposed to transform nonlinear time series to complex networks.
Then, the nonlinear time series are analyzed by the complex network theory.
As a result, the networks transformed from chaotic time series show interesting features observed in real complex networks, for example, small-world property, fit-get-rich property, and so on.

On the other hand, methods for transforming complex networks to nonlinear time series have been proposed.
Among them, we used the classical multidimensional scaling.
We applied our method to two complex network models, the Watts-Strogatz model and the Newman-Watts model, and analyzed the transformed time series.
As a result, it was numerically shown that periodic time series are obtained from regular networks and that noisy periodic time series are obtained from small-world networks of these models.
In this paper, using the circulant-matrix theory and the perturbation theory of linear operators, we theoretically show why noisy periodic time series are generated from the small-world networks obtained by adding new edges to regular networks.
Keyword (in Japanese) (See Japanese page) 
(in English) Complex network / Nonlinear dynamical system theory / Classical multidimensional scaling / Circulant-matrix theory / Perturbation theory of linear operators / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 465, NLP2010-195, pp. 181-186, March 2011.
Paper # NLP2010-195 
Date of Issue 2011-03-03 (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 NLP2010-195

Conference Information
Committee NLP  
Conference Date 2011-03-10 - 2011-03-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Tokyo University of Science 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2011-03-NLP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Theoretical analysis on periodicity and randomness of time series generated from complex netowrks 
Sub Title (in English)  
Keyword(1) Complex network  
Keyword(2) Nonlinear dynamical system theory  
Keyword(3) Classical multidimensional scaling  
Keyword(4) Circulant-matrix theory  
Keyword(5) Perturbation theory of linear operators  
Keyword(6)  
Keyword(7)  
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1st Author's Name Yuta Haraguchi  
1st Author's Affiliation Saitama University (Saitama Univ.)
2nd Author's Name Yutaka Shimada  
2nd Author's Affiliation Saitama University (Saitama Univ.)
3rd Author's Name Tohru Ikeguchi  
3rd Author's Affiliation Saitama University (Saitama Univ.)
4th Author's Name Takaomi Shigehara  
4th Author's Affiliation Saitama University (Saitama Univ.)
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Speaker Author-1 
Date Time 2011-03-11 16:10:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2010-195 
Volume (vol) vol.110 
Number (no) no.465 
Page pp.181-186 
#Pages 6 
Date of Issue 2011-03-03 (NLP) 

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