| Presentation | 2013-03-15 Extension of the phase reduction method to strongly perturbed limit-cycle oscillators and its applications Wataru KUREBAYASHI, Sho SHIRASAKA, Hiroya NAKAO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The phase reduction method is a powerful tool for analytically investigating limit-cycle oscillators driven by weak external force. In this report, we propose a generalized phase reduction method, which can also be applied to oscillators driven by strong external force, if the external force can be divided into a slowly varying component and remaining weak fluctuations. The proposed method can be applied to stronger external forces than the conventional method, and is expected to enables us to explore a broader class of synchronization. As examples, we use the proposed method to theoretically analyze phase-locking dynamics of an oscillator driven by periodic external force. We also perform numerical experiments and compare the results with the theory to demonstrate the validity of our theory is demonstrated. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | oscillator / hase reduction / synchronization / entrainment |
| Paper # | NLP2012-169 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2013/3/7(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Extension of the phase reduction method to strongly perturbed limit-cycle oscillators and its applications |
| Sub Title (in English) | |
| Keyword(1) | oscillator |
| Keyword(2) | hase reduction |
| Keyword(3) | synchronization |
| Keyword(4) | entrainment |
| 1st Author's Name | Wataru KUREBAYASHI |
| 1st Author's Affiliation | Graduate School of Information Science and Engineering, Tokyo Institute of Technology() |
| 2nd Author's Name | Sho SHIRASAKA |
| 2nd Author's Affiliation | Graduate School of Information Science and Engineering, Tokyo Institute of Technology |
| 3rd Author's Name | Hiroya NAKAO |
| 3rd Author's Affiliation | Graduate School of Information Science and Engineering, Tokyo Institute of Technology |
| Date | 2013-03-15 |
| Paper # | NLP2012-169 |
| Volume (vol) | vol.112 |
| Number (no) | 487 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |