Presentation | 2013-05-28 Phase reduction analysis of noise-induced synchronization in chaotic oscillators Wataru KUREBAYASHI, Kantaro FUJIWARA, Hiroya NAKAO, Tohru IKEGUCHI, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | When driven by common noise, various dynamical systems can undergo mutual synchronization. This phenomenon is called noise-induced synchronization, and its theoretical formulation has been established for limit-cycle oscillators. However, for a broader class of dynamical systems such as chaotic oscillators, theoretical formulation is still under development. In this study, we develop a generalized phase reduction method that is applicable to noisy chaotic oscillators, by extending the conventional phase reduction method for limit cycles. We analyze noise-induced synchronization phenomena of chaotic oscillators by the developed method and predict their statistical properties. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | chaotic oscillator / phase reduction / synchronization / stochastic process |
Paper # | NLP2013-25 |
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Committee | NLP |
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Conference Date | 2013/5/20(1days) |
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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) | Phase reduction analysis of noise-induced synchronization in chaotic oscillators |
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Keyword(1) | chaotic oscillator |
Keyword(2) | phase reduction |
Keyword(3) | synchronization |
Keyword(4) | stochastic process |
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 | Kantaro FUJIWARA |
2nd Author's Affiliation | Graduate School of Science and Engineering, Saitama University |
3rd Author's Name | Hiroya NAKAO |
3rd Author's Affiliation | Graduate School of Information Science and Engineering, Tokyo Institute of Technology |
4th Author's Name | Tohru IKEGUCHI |
4th Author's Affiliation | Graduate School of Science and Engineering, Saitama University |
Date | 2013-05-28 |
Paper # | NLP2013-25 |
Volume (vol) | vol.113 |
Number (no) | 69 |
Page | pp.pp.- |
#Pages | 4 |
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