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Paper Abstract and Keywords
Presentation 2023-05-13 14:15
Bifurcation Phenomena in phase-locked Region of Piecewise-constant Oscillators with External Input
Mizuki Urushibara, Tadashi Tsubone (Nagaoka University of Technology) NLP2023-8
Abstract (in Japanese) (See Japanese page) 
(in English) In this study, we analyze the bifurcation phenomenon in the arnol'd tongue of a 2-D piecewise-constant driven oscillator. Forced synchronisation phenomena are often observed in biology and engineering systems. We have derived some bounds on the arnold tongues of a 2-D piecewise-constant driven oscillator. However, the analysis of bifurcation phenomena such as quasiperiodic solutions and chaos is not sufficient. In this report, we have obtained a bifurcation diagram in the parameter space of the external input from a brute-force search. In addition, Lyapunov exponents were calculated, and the bifurcation phenomena including quasiperiodic solutions and chaos are confirmed.
Keyword (in Japanese) (See Japanese page) 
(in English) bifurcation phenomena / piecewise-constant driven oscillator / arnol’d tongue / / / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 21, NLP2023-8, pp. 33-36, May 2023.
Paper # NLP2023-8 
Date of Issue 2023-05-06 (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)
Notes on Review This article is a technical report without peer review, and its polished version will be published elsewhere.
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Conference Information
Committee NLP  
Conference Date 2023-05-13 - 2023-05-13 
Place (in Japanese) (See Japanese page) 
Place (in English) Kenshin Koriyama Cultural Center (Koriyama, Fukushima) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) NLP, etc. 
Paper Information
Registration To NLP 
Conference Code 2023-05-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Bifurcation Phenomena in phase-locked Region of Piecewise-constant Oscillators with External Input 
Sub Title (in English)  
Keyword(1) bifurcation phenomena  
Keyword(2) piecewise-constant driven oscillator  
Keyword(3) arnol’d tongue  
1st Author's Name Mizuki Urushibara  
1st Author's Affiliation Nagaoka University of Technology (Nagaoka University of Technology)
2nd Author's Name Tadashi Tsubone  
2nd Author's Affiliation Nagaoka University of Technology (Nagaoka University of Technology)
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Speaker Author-1 
Date Time 2023-05-13 14:15:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2023-8 
Volume (vol) vol.123 
Number (no) no.21 
Page pp.33-36 
Date of Issue 2023-05-06 (NLP) 

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