Paper Abstract and Keywords |
Presentation |
2008-03-27 15:00
Analysis method of chaotic time series using measures of networks. Yutaka Shimada, Tohru Ikeguchi (Saitama Univ.) NLP2007-161 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Complex phenomena are ubiquitous in the real world, for example, fluctuation of financial indices in a
stock market, population of a species in a local community, and change of weather condition. In this report, we
propose a new method to quantify the deterministic chaos using the measures of the complex network theory. The
basic idea of our proposed method is that attractors of nonlinear dynamical systems and networks are characterized
by a two–dimensional matrix. First, we construct a recurrence plot from an attractor. Next, we use the recurrence
plot as an adjacent matrix of a network. Then, we evaluated the clustering coefficients and the characteristic path
length of the network. As a result, we confirmed that the constructed networks from the chaotic systems show the
small world property. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Nonlinear Time Series Analysis / Complex Network Analysis / Recurrence Plot / Chaotic Time Series Analysis / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 107, no. 560, NLP2007-161, pp. 43-48, March 2008. |
Paper # |
NLP2007-161 |
Date of Issue |
2008-03-20 (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 |
NLP2007-161 |
Conference Information |
Committee |
NLP |
Conference Date |
2008-03-27 - 2008-03-28 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
|
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
|
Paper Information |
Registration To |
NLP |
Conference Code |
2008-03-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Analysis method of chaotic time series using measures of networks. |
Sub Title (in English) |
|
Keyword(1) |
Nonlinear Time Series Analysis |
Keyword(2) |
Complex Network Analysis |
Keyword(3) |
Recurrence Plot |
Keyword(4) |
Chaotic Time Series Analysis |
Keyword(5) |
|
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Yutaka Shimada |
1st Author's Affiliation |
Saitama University (Saitama Univ.) |
2nd Author's Name |
Tohru Ikeguchi |
2nd Author's Affiliation |
Saitama University (Saitama Univ.) |
3rd Author's Name |
|
3rd Author's Affiliation |
() |
4th Author's Name |
|
4th Author's Affiliation |
() |
5th Author's Name |
|
5th Author's Affiliation |
() |
6th Author's Name |
|
6th Author's Affiliation |
() |
7th Author's Name |
|
7th Author's Affiliation |
() |
8th Author's Name |
|
8th Author's Affiliation |
() |
9th Author's Name |
|
9th Author's Affiliation |
() |
10th Author's Name |
|
10th Author's Affiliation |
() |
11th Author's Name |
|
11th Author's Affiliation |
() |
12th Author's Name |
|
12th Author's Affiliation |
() |
13th Author's Name |
|
13th Author's Affiliation |
() |
14th Author's Name |
|
14th Author's Affiliation |
() |
15th Author's Name |
|
15th Author's Affiliation |
() |
16th Author's Name |
|
16th Author's Affiliation |
() |
17th Author's Name |
|
17th Author's Affiliation |
() |
18th Author's Name |
|
18th Author's Affiliation |
() |
19th Author's Name |
|
19th Author's Affiliation |
() |
20th Author's Name |
|
20th Author's Affiliation |
() |
Speaker |
Author-1 |
Date Time |
2008-03-27 15:00:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2007-161 |
Volume (vol) |
vol.107 |
Number (no) |
no.560 |
Page |
pp.43-48 |
#Pages |
6 |
Date of Issue |
2008-03-20 (NLP) |
|