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Paper Abstract and Keywords
Presentation 2025-01-28 15:00
A mathematical model of the Van der Pol circuit using the Gompertz curve
Masahiro Araki, Kota Shiozawa, Isao Tokuda (Ritsumeikan Univ.) NLP2024-98
Abstract (in Japanese) (See Japanese page) 
(in English) Nonlinear systems have been extensively studied across various fields. As a representative example, mathematical model of the Van der Pol circuit has been analyzed. To represent the current-voltage characteristics of the circuit's nonlinear negative resistance, mathematical models based on piecewise linear functions or cubic function approximations have been proposed. However, these models can deviate from the behavior of real electric circuits depending on the parameter setting. In this study, we propose a new mathematical model utilizing the Gompertz curve to represent the current-voltage characteristics of the negative resistance more precisely. To examine its modeling accuracy, the proposed model was compared with the existing model and the LTspice simulation results. Furthermore, the effectiveness of the proposed model was demonstrated by reproducing a bifurcation diagram of a real Van der Pol electric circuit, to which a sinusoidal forcing is applied.
Keyword (in Japanese) (See Japanese page) 
(in English) Negative resistance / Mathematical model / Gompertz curve / Bifurcation / / / /  
Reference Info. IEICE Tech. Rep., vol. 124, no. 362, NLP2024-98, pp. 31-35, Jan. 2025.
Paper # NLP2024-98 
Date of Issue 2025-01-21 (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)
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Conference Information
Committee NC NLP  
Conference Date 2025-01-28 - 2025-01-29 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English) NC, NLP, General 
Paper Information
Registration To NLP 
Conference Code 2025-01-NC-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A mathematical model of the Van der Pol circuit using the Gompertz curve 
Sub Title (in English)  
Keyword(1) Negative resistance  
Keyword(2) Mathematical model  
Keyword(3) Gompertz curve  
Keyword(4) Bifurcation  
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1st Author's Name Masahiro Araki  
1st Author's Affiliation Ritsumeikan University (Ritsumeikan Univ.)
2nd Author's Name Kota Shiozawa  
2nd Author's Affiliation Ritsumeikan University (Ritsumeikan Univ.)
3rd Author's Name Isao Tokuda  
3rd Author's Affiliation Ritsumeikan University (Ritsumeikan Univ.)
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Speaker Author-1 
Date Time 2025-01-28 15:00:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2024-98 
Volume (vol) vol.124 
Number (no) no.362 
Page pp.31-35 
#Pages 5 
Date of Issue 2025-01-21 (NLP) 

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