Paper Abstract and Keywords |
Presentation |
2022-01-23 10:15
A simple method for estimating phase and amplitude functions of limit-cycle oscillators by polynomial regression from time series data Norihisa Namura, Hiroya Nakao (Tokyo Tech.) NLP2021-122 MICT2021-97 MBE2021-83 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In the real world, there are various nonlinear rhythmic phenomena, many of which can be modeled mathematically as limit-cycle oscillators.
The phase reduction method is effective for analyzing the synchronization of limit-cycle oscillators subjected to weak perturbation, and it has been extended to the phase-amplitude reduction method in recent years.
In the phase and amplitude reduction method, the amplitude, which is a measure of the distance from the limit cycle, is newly introduced.
The phase and amplitude functions are rarely obtained analytically, and much computational cost is required to evaluate them numerically.
In this study, we propose a method for estimating phase and amplitude functions from time series data when the dynamical system is unknown.
The effectiveness of this method is demonstrated by using several oscillators as examples. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
limit cycle / phase reduction / phase-amplitude reduction / phase function / amplitude function / time series data / polynomial regression / |
Reference Info. |
IEICE Tech. Rep., vol. 121, no. 335, NLP2021-122, pp. 237-242, Jan. 2022. |
Paper # |
NLP2021-122 |
Date of Issue |
2022-01-14 (NLP, MICT, MBE) |
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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NLP2021-122 MICT2021-97 MBE2021-83 |
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) |
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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) |
A simple method for estimating phase and amplitude functions of limit-cycle oscillators by polynomial regression from time series data |
Sub Title (in English) |
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Keyword(1) |
limit cycle |
Keyword(2) |
phase reduction |
Keyword(3) |
phase-amplitude reduction |
Keyword(4) |
phase function |
Keyword(5) |
amplitude function |
Keyword(6) |
time series data |
Keyword(7) |
polynomial regression |
Keyword(8) |
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1st Author's Name |
Norihisa Namura |
1st Author's Affiliation |
Tokyo Institute of Technology (Tokyo Tech.) |
2nd Author's Name |
Hiroya Nakao |
2nd Author's Affiliation |
Tokyo Institute of Technology (Tokyo Tech.) |
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Speaker |
Author-1 |
Date Time |
2022-01-23 10:15:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2021-122, MICT2021-97, MBE2021-83 |
Volume (vol) |
vol.121 |
Number (no) |
no.335(NLP), no.336(MICT), no.337(MBE) |
Page |
pp.237-242 |
#Pages |
6 |
Date of Issue |
2022-01-14 (NLP, MICT, MBE) |
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