2013 Fiscal Year Final Research Report
Coherence in nonlinear dynamical systems subjected to common fluctuating forcing
| Project/Area Number |
22684020
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| Research Category |
Grant-in-Aid for Young Scientists (A)
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| Allocation Type | Single-year Grants |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
NAKAO HIROYA 東京工業大学, 情報理工学(系)研究科, 准教授 (40344048)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Keywords | 非線形ダイナミクス / 確率過程 / リズム現象 / 同期現象 / 揺らぎ / 縮約理論 |
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| Research Abstract |
There are various examples of elements that exhibit self-sustained dynamics in the real world. In particular, nonlinear oscillators that generate self-sustained rhythms are ubiquitous in various fields including physics, chemistry, biology, and engineering. It is well known that periodic external forcing can entrain the driven oscillators and interacting coupled oscillators can exhibit mutual synchronization. Recent studies have also revealed that the oscillators exhibit synchronization, or more generally coherence, when driven by common or correlated stochastic forcing. In this research project, we theoretically analyzed the mechanism leading to such nontrivial phenomena. Specifically, on the basis of the phase-reduction theory for nonlinear oscillators, we showed that such noise-induced synchronization phenomenon generally occurs in weakly driven oscillators and clarified its conditions.
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