| Presentation | 2010/6/11 Stochastic phase description of fluctuating rhythmic elements Shigefumi HATA, Kensuke ARAI, Hiroya NAKAO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Rhythmic elements are widely distributed in nature and synchronization among them attracts much attention in diverse fields. The phase reduction is a standard technique for limit-cycle oscillators, which approximately describes the dynamics of each oscillator using only its phase. With this technique, various synchronization phenomena can be analyzed in mathematically tractable ways. In this study, we try to establish a quantitative stochastic phase description for chaotic oscillators. The phase response of a chaotic oscillator to external stimuli is not unique but fluctuates. By replacing the chaotic fluctuations with stochastic noise, we define stochastic phase response curves, generalization of the conventional deterministic phase response curves. We apply this method to common-noise-induced phase synchronization of Rossler oscillators, which was found by Zhou and Kurths [1]. We demonstrate that our method can quantitatively predict synchronized phase distributions of Rossler oscillators. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | phase reduction / chaotic oscillator / Rossler system |
| Paper # | NC2010-16,NLP2010-16 |
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| Committee | NC |
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| Conference Date | 2010/6/11(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Neurocomputing (NC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Stochastic phase description of fluctuating rhythmic elements |
| Sub Title (in English) | |
| Keyword(1) | phase reduction |
| Keyword(2) | chaotic oscillator |
| Keyword(3) | Rossler system |
| 1st Author's Name | Shigefumi HATA |
| 1st Author's Affiliation | Faculty of Science, Kyoto University() |
| 2nd Author's Name | Kensuke ARAI |
| 2nd Author's Affiliation | RIKEN BSI |
| 3rd Author's Name | Hiroya NAKAO |
| 3rd Author's Affiliation | Faculty of Science, Kyoto University |
| Date | 2010/6/11 |
| Paper # | NC2010-16,NLP2010-16 |
| Volume (vol) | vol.110 |
| Number (no) | 83 |
| Page | pp.pp.- |
| #Pages | 5 |
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