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Paper Abstract and Keywords
Presentation 2024-09-06 10:55
Analysis of various periodic orbits in digital return maps based on Chaos map
Hosei Yamaguchi, Toshimichi Saito (HU) NLP2024-52
Abstract (in Japanese) (See Japanese page) 
(in English) A digital map (Dmap) is a digital dynamical system defined on a set of points, which can generate various periodic orbits depending on parameters. In this paper, we analyze the periodic orbits presented by Dmap. We define three simple features to analyze the behavior: first, we evaluate the complexity of the periodic orbit; second, we evaluate the stability of the periodic orbit; and third, we evaluate the irregularity of the periodic orbit. The periodic orbits of different Dmaps were analyzed using cross-correlation functions. Numerical analysis using these features shows that Dmap exhibits various periodic orbits.

Translated with DeepL.com (free version)
Keyword (in Japanese) (See Japanese page) 
(in English) Dmap / periodic orbits / stability / auto-correlation / cross-correlation / / /  
Reference Info. IEICE Tech. Rep., vol. 124, no. 178, NLP2024-52, pp. 56-59, Sept. 2024.
Paper # NLP2024-52 
Date of Issue 2024-08-29 (NLP) 
ISSN 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 NLP2024-52

Conference Information
Committee NLP  
Conference Date 2024-09-05 - 2024-09-06 
Place (in Japanese) (See Japanese page) 
Place (in English) Takayama City Library 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear Problems, etc. 
Paper Information
Registration To NLP 
Conference Code 2024-09-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Analysis of various periodic orbits in digital return maps based on Chaos map 
Sub Title (in English)  
Keyword(1) Dmap  
Keyword(2) periodic orbits  
Keyword(3) stability  
Keyword(4) auto-correlation  
Keyword(5) cross-correlation  
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Keyword(8)  
1st Author's Name Hosei Yamaguchi  
1st Author's Affiliation HOSEI University (HU)
2nd Author's Name Toshimichi Saito  
2nd Author's Affiliation HOSEI University (HU)
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Speaker Author-1 
Date Time 2024-09-06 10:55:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2024-52 
Volume (vol) vol.124 
Number (no) no.178 
Page pp.56-59 
#Pages 4 
Date of Issue 2024-08-29 (NLP) 

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