| Presentation | 2021-10-14 A simple method for estimating phase functions of limit cycles by polynomial regression from time series data Norihisa Namura, Hiroya Nakao, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Many rhythmic phenomena in the real world are mathematically modeled as limit-cycle oscillators. The phase reduction approach is useful in analyzing synchronization dynamics of weakly-perturbed limit-cycle oscillators. In the phase reduction approach, the state of an oscillator is represented by using a single variable, namely, the asymptotic phase. The function that maps the oscillator state to a phase value is called the phase function. In general, the phase functions are rarely obtained analytically and also computationally demanding. In this study, we propose a method to estimate the phase function from observed time series data. An important feature of the proposed method is that the differences of the phase between neighboring data points are used for the training and the absolute phase is not necessary except for a single point that determines the origin of the phase. The effectiveness of the proposed method is demonstrated by numerical calculations for several oscillators. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | limit-cycle oscillator / phase reduction / phase function / time series data / polynomial regression |
| Paper # | CAS2021-23,NLP2021-21 |
| Date of Issue | 2021-10-07 (CAS, NLP) |
| Conference Information | |
| Committee | CAS / NLP |
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| Conference Date | 2021/10/14(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Hiroki Sato(Sony LSI Design) / Takuji Kosaka(Chukyo Univ.) |
| Vice Chair | Yoshinobu Maeda(Niigata Univ.) / Akio Tsuneda(Kumamoto Univ.) |
| Secretary | Yoshinobu Maeda(Sony LSI Design) / Akio Tsuneda(NIT, Toyama college) |
| Assistant | Motoi Yamaguchi(TECHNOPRO) / Yohei Nakamura(Hitachi) / Takahide Sato(Univ. of Yamanashi) / Yasutoshi Aibara(Murata Manufacturing) / Hideyuki Kato(Oita Univ.) / Yuichi Yokoi(Nagasaki Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Circuits and Systems / Technical Committee on Nonlinear Problems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A simple method for estimating phase functions of limit cycles by polynomial regression from time series data |
| Sub Title (in English) | |
| Keyword(1) | limit-cycle oscillator |
| Keyword(2) | phase reduction |
| Keyword(3) | phase function |
| Keyword(4) | time series data |
| Keyword(5) | polynomial regression |
| 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.) |
| Date | 2021-10-14 |
| Paper # | CAS2021-23,NLP2021-21 |
| Volume (vol) | vol.121 |
| Number (no) | CAS-196,NLP-197 |
| Page | pp.pp.35-38(CAS), pp.35-38(NLP), |
| #Pages | 4 |
| Date of Issue | 2021-10-07 (CAS, NLP) |