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| 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 |
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| 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 | |
| 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) | |
| Notes on Review | This article is a technical report without peer review, and its polished version will be published elsewhere. | |
| Download PDF | NLP2023-8 |
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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 |
| Keyword(4) | |
| Keyword(5) | |
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| Keyword(8) | |
| 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 |
| #Pages | 4 |
| Date of Issue | 2023-05-06 (NLP) |
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