Presentation | 2022-01-23 Stabilization of injection locking under strong input via phase-amplitude reduction Shohei Takata, Yuzuru Kato, Hiroya Nakao, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(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) |
Keyword(in English) | limit-cycle / oscillator / synchronization phenomenon / entrainment / injection locking / phase-amplitude reduction / optimization |
Paper # | NLP2021-121,MICT2021-96,MBE2021-82 |
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) | 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 |
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) |
Date | 2022-01-23 |
Paper # | NLP2021-121,MICT2021-96,MBE2021-82 |
Volume (vol) | vol.121 |
Number (no) | NLP-335,MICT-336,MBE-337 |
Page | pp.pp.231-236(NLP), pp.231-236(MICT), pp.231-236(MBE), |
#Pages | 6 |
Date of Issue | 2022-01-14 (NLP, MICT, MBE) |