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Paper Abstract and Keywords
Presentation 2016-06-13 13:25
A mean field analysis of the simple model of evolving open system
Fumiko Ogushi (Tohoku Univ.), Takashi Shimada (Univ. of Tokyo) NLP2016-23 CCS2016-6
Abstract (in Japanese) (See Japanese page) 
(in English) A simple model of evolving open systems with the mono-directional interaction gives a novel transition from the diverging phase to the finite phase. The system can grow in a range of 4 < m < 19, where m represents the interaction number of the new incoming elements, and it remains in a finite size in the case of m > 19. Assuming that the system is a random network, we evaluate the transition point on a basis of a mean field approach; The system is able to be described by the average values of degree and fitness of the entire system. From the mean field approach, we found that the extinction probability E(m) decreases when m increases and the decreasing speed is slower than the increasing speed of m. Thus, the expectation value of the extinction species mE(m) increases and crosses one at mc* =13. It corresponds to the transition point. Moreover, extinction probabilities which are directly observed in the systems of the mono-directional model are smaller than the estimation value from the mean field analysis. As a result of the smaller extinction probabilities, the transition point in the mono-directional model (mc =18) becomes larger than the mean field approach.
Keyword (in Japanese) (See Japanese page) 
(in English) Evolving open system / Transition / Mean field analysis / / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 87, CCS2016-6, pp. 21-25, June 2016.
Paper # CCS2016-6 
Date of Issue 2016-06-06 (NLP, CCS) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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)
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Conference Information
Committee CCS NLP  
Conference Date 2016-06-13 - 2016-06-14 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear Science, Complexity Science, etc. 
Paper Information
Registration To CCS 
Conference Code 2016-06-CCS-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A mean field analysis of the simple model of evolving open system 
Sub Title (in English)  
Keyword(1) Evolving open system  
Keyword(2) Transition  
Keyword(3) Mean field analysis  
1st Author's Name Fumiko Ogushi  
1st Author's Affiliation Tohoku University (Tohoku Univ.)
2nd Author's Name Takashi Shimada  
2nd Author's Affiliation The University of Tokyo (Univ. of Tokyo)
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Date Time 2016-06-13 13:25:00 
Presentation Time 25 
Registration for CCS 
Paper # IEICE-NLP2016-23,IEICE-CCS2016-6 
Volume (vol) IEICE-116 
Number (no) no.86(NLP), no.87(CCS) 
Page pp.21-25 
#Pages IEICE-5 
Date of Issue IEICE-NLP-2016-06-06,IEICE-CCS-2016-06-06 

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