| Presentation | 2017-03-15 Optimization of coupling matrices for stable mutual synchronization of nonlinear oscillators Nobuhiro Watanabe, Sho Shirasaka, Yoji Kawamura, Hiroya Nakao, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Optimization of periodic injection signals for stable synchronization of a single oscillator has been studied recently, but optimization of mutual coupling for synchronization of multiple oscillators has not been considered well. In this study, we analyze optimization of coupling matrices between two oscillators, which undergo mutual synchronizion by weak diffusive coupling. We derive the coupling matrix between the state variables of the oscillators that maximizes linear stability of the synchronous state by using the phase reduction theory, and illustrate that the synchronized state is actually stabilized and the convergence to the synchronized state becomes faster by using several examples of nonlinear oscillators. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | limit-cycle oscillator / phase reduction / synchronization / optimization |
| Paper # | NLP2016-120 |
| Date of Issue | 2017-03-07 (NLP) |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 2017/3/14(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Nebuta Museum Warasse |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Hisato Fujisaka(Hiroshima City Univ.) |
| Vice Chair | Masaharu Adachi(Tokyo Denki Univ.) |
| Secretary | Masaharu Adachi(Konan Univ.) |
| Assistant | Hiroyuki Asahara(Okayama Univ. of Science) / Toshihiro Tachibana(Shonan Inst. of Tech.) |
| Paper Information | |
| Registration To | 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) | Optimization of coupling matrices for stable mutual synchronization of nonlinear oscillators |
| Sub Title (in English) | |
| Keyword(1) | limit-cycle oscillator |
| Keyword(2) | phase reduction |
| Keyword(3) | synchronization |
| Keyword(4) | optimization |
| 1st Author's Name | Nobuhiro Watanabe |
| 1st Author's Affiliation | Tokyo Institute of Technology(Tokyo Tech) |
| 2nd Author's Name | Sho Shirasaka |
| 2nd Author's Affiliation | Tokyo Institute of Technology(Tokyo Tech) |
| 3rd Author's Name | Yoji Kawamura |
| 3rd Author's Affiliation | Japan Agency for Marine-Earth Science and Technology(JAMSTEC) |
| 4th Author's Name | Hiroya Nakao |
| 4th Author's Affiliation | Tokyo Institute of Technology(Tokyo Tech) |
| Date | 2017-03-15 |
| Paper # | NLP2016-120 |
| Volume (vol) | vol.116 |
| Number (no) | NLP-523 |
| Page | pp.pp.75-77(NLP), |
| #Pages | 3 |
| Date of Issue | 2017-03-07 (NLP) |