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Paper Abstract and Keywords
Presentation 2024-03-13 10:25
Analysis of periodic orbits in digital return maps based on feature quantities
Hosei Yamaguchi, Shinya Kujirai, Toshimichi Saito (HU) MSS2023-71 NLP2023-123
Abstract (in Japanese) (See Japanese page) 
(in English) A digital map (Dmap) is digital dynamical system defined on a set of points. Depending on parameters, A digital map can generate various periodic orbits. A digital map is suitable for precise numerical analysis and FPGA based hardware implementation. This paper studies basic dynamics of A digital map. In order to analyze the dynamics, we define three feature quantities. The first quantity evaluates complexity of the
periodic orbits. The second quantity evaluates stability of the periodic orbits. The third quantity evaluates irregularity of the periodic orbits. Using the quantities, we investigate various periodic orbits in typical systems.
Keyword (in Japanese) (See Japanese page) 
(in English) Digital maps / Periodic orbits / Stability / Auto-correlation / / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 428, NLP2023-123, pp. 5-8, March 2024.
Paper # NLP2023-123 
Date of Issue 2024-03-06 (MSS, NLP) 
ISSN 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)
Download PDF MSS2023-71 NLP2023-123

Conference Information
Committee NLP MSS  
Conference Date 2024-03-13 - 2024-03-14 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) MSS, NLP, etc. 
Paper Information
Registration To NLP 
Conference Code 2024-03-NLP-MSS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Analysis of periodic orbits in digital return maps based on feature quantities 
Sub Title (in English)  
Keyword(1) Digital maps  
Keyword(2) Periodic orbits  
Keyword(3) Stability  
Keyword(4) Auto-correlation  
1st Author's Name Hosei Yamaguchi  
1st Author's Affiliation HOSEI University (HU)
2nd Author's Name Shinya Kujirai  
2nd Author's Affiliation HOSEI University (HU)
3rd Author's Name Toshimichi Saito  
3rd Author's Affiliation HOSEI University (HU)
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Speaker Author-1 
Date Time 2024-03-13 10:25:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # MSS2023-71, NLP2023-123 
Volume (vol) vol.123 
Number (no) no.427(MSS), no.428(NLP) 
Page pp.5-8 
Date of Issue 2024-03-06 (MSS, NLP) 

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