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 |
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) |
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NLP2016-23 CCS2016-6 |
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 |
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Evolving open system |
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Transition |
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Mean field analysis |
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1st Author's Name |
Fumiko Ogushi |
1st Author's Affiliation |
Tohoku University (Tohoku Univ.) |
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Takashi Shimada |
2nd Author's Affiliation |
The University of Tokyo (Univ. of Tokyo) |
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Speaker |
Author-1 |
Date Time |
2016-06-13 13:25:00 |
Presentation Time |
25 minutes |
Registration for |
CCS |
Paper # |
NLP2016-23, CCS2016-6 |
Volume (vol) |
vol.116 |
Number (no) |
no.86(NLP), no.87(CCS) |
Page |
pp.21-25 |
#Pages |
5 |
Date of Issue |
2016-06-06 (NLP, CCS) |
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