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Paper Abstract and Keywords
Presentation 2022-01-23 09:50
Stabilization of injection locking under strong input via phase-amplitude reduction
Shohei Takata, Yuzuru Kato, Hiroya Nakao (Tokyo Tech) NLP2021-121 MICT2021-96 MBE2021-82
Abstract (in Japanese) (See Japanese page) 
(in English) Entrainment of limit-cycle oscillators by periodic inputs is a universal phenomenon observed in various fields of science and technology, such as circadian rhythms and electric circuits. When the periodic inputs are sufficiently weak, we can approximately reduce the multi-dimensional nonlinear dynamical equations of the oscillators to a one-dimensional phase equation using the phase reduction theory and use it to optimize the periodic input waveforms to achieve faster or more efficient entrainment. However, when the periodic input is strong and the deviation of the oscillator state from the limit cycle is large, the approximated phase equation is invalid and the optimization methods do not work well. In this study, using the phase-amplitude reduction theory, we propose two optimization methods to obtain the periodic input waveforms that can suppress deviations of the oscillator from the limit cycle. We demonstrate that both methods enable the use of strong inputs and can achieve faster entrainment and a larger locking range to the target phase-locking point than the conventional method with small inputs.
Keyword (in Japanese) (See Japanese page) 
(in English) limit-cycle / oscillator / synchronization phenomenon / entrainment / injection locking / phase-amplitude reduction / optimization /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 335, NLP2021-121, pp. 231-236, Jan. 2022.
Paper # NLP2021-121 
Date of Issue 2022-01-14 (NLP, MICT, MBE) 
ISSN Online edition: ISSN 2432-6380
Copyright
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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 NLP2021-121 MICT2021-96 MBE2021-82

Conference Information
Committee NLP MICT MBE NC  
Conference Date 2022-01-21 - 2022-01-23 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2022-01-NLP-MICT-MBE-NC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Stabilization of injection locking under strong input via phase-amplitude reduction 
Sub Title (in English)  
Keyword(1) limit-cycle  
Keyword(2) oscillator  
Keyword(3) synchronization phenomenon  
Keyword(4) entrainment  
Keyword(5) injection locking  
Keyword(6) phase-amplitude reduction  
Keyword(7) optimization  
Keyword(8)  
1st Author's Name Shohei Takata  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
2nd Author's Name Yuzuru Kato  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
3rd Author's Name Hiroya Nakao  
3rd Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
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Speaker Author-1 
Date Time 2022-01-23 09:50:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2021-121, MICT2021-96, MBE2021-82 
Volume (vol) vol.121 
Number (no) no.335(NLP), no.336(MICT), no.337(MBE) 
Page pp.231-236 
#Pages 6 
Date of Issue 2022-01-14 (NLP, MICT, MBE) 

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