| Presentation | 2022-01-23 A simple method for estimating phase and amplitude functions of limit-cycle oscillators 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) | 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) |
| Keyword(in English) | limit cycle / phase reduction / phase-amplitude reduction / phase function / amplitude function / time series data / polynomial regression |
| Paper # | NLP2021-122,MICT2021-97,MBE2021-83 |
| Date of Issue | 2022-01-14 (NLP, MICT, MBE) |
| Conference Information | |
| Committee | NLP / MICT / MBE / NC |
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| Conference Date | 2022/1/21(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Takuji Kosaka(Chukyo Univ.) / Eisuke Hanada(Saga Univ.) / Ryuhei Okuno(Setsunan Univ.) / Rieko Osu(Waseda Univ.) |
| Vice Chair | Akio Tsuneda(Kumamoto Univ.) / Hirokazu Tanaka(Hiroshima City Univ.) / Daisuke Anzai(Nagoya Inst. of Tech.) / Junichi Hori(Niigata Univ.) / Hiroshi Yamakawa(Univ of Tokyo) |
| Secretary | Akio Tsuneda(Kagawa Univ.) / Hirokazu Tanaka(Sojo Univ.) / Daisuke Anzai(Yokohama National Univ.) / Junichi Hori(KISTEC) / Hiroshi Yamakawa(Osaka Electro-Communication Univ) |
| Assistant | Hideyuki Kato(Oita Univ.) / Yuichi Yokoi(Nagasaki Univ.) / Takahiro Ito(Hiroshima City Univ) / Kento Takabayashi(Okayama Pref. Univ.) / Takuya Nishikawa(National Cerebral and Cardiovascular Center Hospital) / Jun Akazawa(Meiji Univ. of Integrative Medicine) / Emi Yuda(Tohoku Univ) / Nobuhiko Wagatsuma(Toho Univ.) / Tomoki Kurikawa(KMU) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems / Technical Committee on Healthcare and Medical Information Communication Technology / Technical Committee on ME and Bio Cybernetics / Technical Committee on Neurocomputing |
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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 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 |
| 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 | 2022-01-23 |
| Paper # | NLP2021-122,MICT2021-97,MBE2021-83 |
| Volume (vol) | vol.121 |
| Number (no) | NLP-335,MICT-336,MBE-337 |
| Page | pp.pp.237-242(NLP), pp.237-242(MICT), pp.237-242(MBE), |
| #Pages | 6 |
| Date of Issue | 2022-01-14 (NLP, MICT, MBE) |