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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
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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) A simple method for estimating phase and amplitude functions of limit-cycle oscillators by polynomial regression from time series data 
Sub Title (in English)  
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)  
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
Date of Issue 2022-01-14 (NLP, MICT, MBE) 


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