IEICE Technical Committee Submission System
Conference Paper's Information
Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

Paper Abstract and Keywords
Presentation 2016-07-21 15:20
An evaluation of the shape of the Lorenz attractor embedded in the delay coordinate space with persistent homology
Shotaro Tsuji, Kazuyuki Aihara (Univ. Tokyo) NLP2016-37
Abstract (in Japanese) (See Japanese page) 
(in English) We conducted a numerical evaluation of the geometric shapes of the Lorenz attractor and the recon-
structed Lorenz attractors in the delay-coordinate space with persistent homology. Takens' embedding theorem
ensures that the reconstructed attractor embeded in the delay-coordinate space with sufficiently high dimension is
diffeomorphic to the original attractor. However, under the condition of differmorphism, the shape of the attractor
may deform greatly depending on the delay time. Then, we evaluated the relation between the shapes of the recon-
structed attractors and the delay time with persistent homology. Moreover, we observed that there are a signi cant
difference between the optimal delay time calculated with persistent homology and that calculated from the mutual
information.
Keyword (in Japanese) (See Japanese page) 
(in English) delay-coordinate space / Takens' theorem / Persistent homology / / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 151, NLP2016-37, pp. 17-20, July 2016.
Paper # NLP2016-37 
Date of Issue 2016-07-14 (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 NLP2016-37

Conference Information
Committee NLP  
Conference Date 2016-07-21 - 2016-07-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Hokkaido Univ. Centennial Hall 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2016-07-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An evaluation of the shape of the Lorenz attractor embedded in the delay coordinate space with persistent homology 
Sub Title (in English)  
Keyword(1) delay-coordinate space  
Keyword(2) Takens' theorem  
Keyword(3) Persistent homology  
Keyword(4)  
Keyword(5)  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Shotaro Tsuji  
1st Author's Affiliation The University of Tokyo (Univ. Tokyo)
2nd Author's Name Kazuyuki Aihara  
2nd Author's Affiliation The University of Tokyo (Univ. Tokyo)
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 2016-07-21 15:20:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2016-37 
Volume (vol) vol.116 
Number (no) no.151 
Page pp.17-20 
#Pages
Date of Issue 2016-07-14 (NLP) 


[Return to Top Page]

[Return to IEICE Web Page]


The Institute of Electronics, Information and Communication Engineers (IEICE), Japan