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Paper Abstract and Keywords
Presentation 2025-12-12 12:10
Estimation of Unstable Periodic Points in Unknown Chaotic Dynamical Systems Using Autoregressive Models and Optimization Methods
Kazumi Arai, Tadashi Tsubone (NUT), Hatuna Matsushita (Kagawa Univ.) NLP2025-76
Abstract (in Japanese) (See Japanese page) 
(in English) An infinite number of Unstable Periodic Points (UPPs) that exist within some chaotic attractors are important for understanding chaotic dynamical systems. In this report, we propose a method for estimating UPPs from time-series signals generated by a chaotic dynamical system whose equation of motion is unknown. Initially, we perform system identification using an autoregressive model. Subsequently, we search for UPPs by applying an optimization method to the identified model. As an example, we demonstrated that the proposed method can estimate UPPs for a simple discrete-time chaotic dynamical system.
Keyword (in Japanese) (See Japanese page) 
(in English) Unstable Periodic Points / Optimization Methods / Chaos / Dynamical System / Autoregressive Model / / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 283, NLP2025-76, pp. 111-116, Dec. 2025.
Paper # NLP2025-76 
Date of Issue 2025-12-04 (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 NLP2025-76

Conference Information
Committee NLP  
Conference Date 2025-12-11 - 2025-12-12 
Place (in Japanese) (See Japanese page) 
Place (in English) Kochi Castle Museum of History 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear problem, etc 
Paper Information
Registration To NLP 
Conference Code 2025-12-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Estimation of Unstable Periodic Points in Unknown Chaotic Dynamical Systems Using Autoregressive Models and Optimization Methods 
Sub Title (in English)  
Keyword(1) Unstable Periodic Points  
Keyword(2) Optimization Methods  
Keyword(3) Chaos  
Keyword(4) Dynamical System  
Keyword(5) Autoregressive Model  
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Keyword(7)  
Keyword(8)  
1st Author's Name Kazumi Arai  
1st Author's Affiliation Nagaoka University of Technology (NUT)
2nd Author's Name Tadashi Tsubone  
2nd Author's Affiliation Nagaoka University of Technology (NUT)
3rd Author's Name Hatuna Matsushita  
3rd Author's Affiliation Kagawa University (Kagawa Univ.)
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Speaker Author-1 
Date Time 2025-12-12 12:10:00 
Presentation Time 20 minutes 
Registration for NLP 
Paper # NLP2025-76 
Volume (vol) vol.125 
Number (no) no.283 
Page pp.111-116 
#Pages 6 
Date of Issue 2025-12-04 (NLP) 

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