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Paper Abstract and Keywords
Presentation 2025-08-07 14:55
Derivation and Examination of Ordinary Differential Equations for Fixed Points with respect to Parameters
Yuu Miino (Naruto Univ. Edu.) NLP2025-28
Abstract (in Japanese) (See Japanese page) 
(in English) This study proposes several new ordinary differential equation (ODE) systems for computing fixed points of discrete-time dynamical systems. The proposed systems enable the numerical derivation of solution trajectories that satisfy the fixed-point condition. Importantly, fixed points can be obtained without being affected by their asymptotic stability, facilitating stability-independent analysis. Furthermore, by incorporating a dynamic property that exponentially reduces the residual, the method allows computation of fixed points independent of initial values. Numerical experiments using Python's SciPy library demonstrate the effectiveness of the proposed approach on the logistic and Hénon maps. The results confirm that fixed points can be obtained with sufficient accuracy and that the residual converges exponentially.
Keyword (in Japanese) (See Japanese page) 
(in English) Fixed Point / Ordinary Differential Equation / Numerical Computation / Bifurcation / Asymptotic Stability / / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 150, NLP2025-28, pp. 20-24, Aug. 2025.
Paper # NLP2025-28 
Date of Issue 2025-07-31 (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 NLP2025-28

Conference Information
Committee NLP  
Conference Date 2025-08-07 - 2025-08-07 
Place (in Japanese) (See Japanese page) 
Place (in English) Kaderu27(Sapporo) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear problems, etc 
Paper Information
Registration To NLP 
Conference Code 2025-08-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Derivation and Examination of Ordinary Differential Equations for Fixed Points with respect to Parameters 
Sub Title (in English)  
Keyword(1) Fixed Point  
Keyword(2) Ordinary Differential Equation  
Keyword(3) Numerical Computation  
Keyword(4) Bifurcation  
Keyword(5) Asymptotic Stability  
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1st Author's Name Yuu Miino  
1st Author's Affiliation Naruto University of Education (Naruto Univ. Edu.)
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Speaker Author-1 
Date Time 2025-08-07 14:55:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2025-28 
Volume (vol) vol.125 
Number (no) no.150 
Page pp.20-24 
#Pages 5 
Date of Issue 2025-07-31 (NLP) 

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