抄録
We report stochastic phenomena of inter-cluster synchronization in ensembles of coupled self-sustained oscillators with different time scales. A mean-field model of two interconnected clusters of coupled limit cycle oscillators having same trajectories with two native frequencies is considered to analytically derive the time evolution of the order parameters in the thermodynamic limit. A set of the order parameters obtained for the system exhibits noise induced bifurcations, including those from torus type attractors to fixed point ones for the case with two different heat baths in accordance with the introduction of the time scale.
| 元の言語 | English |
|---|---|
| 記事番号 | 012043 |
| ジャーナル | Journal of Physics: Conference Series |
| 巻 | 302 |
| 発行部数 | 1 |
| DOI | |
| 出版物ステータス | Published - 2011 |
| 外部発表 | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
これを引用
Bifurcation phenomena of mean-field coupled self-sustained oscillators with two different time scales under the influence of external white noise. / Okumura, Keiji; Shiino, Masatoshi.
：: Journal of Physics: Conference Series, 巻 302, 番号 1, 012043, 2011.研究成果: Article
}
TY - JOUR
T1 - Bifurcation phenomena of mean-field coupled self-sustained oscillators with two different time scales under the influence of external white noise
AU - Okumura, Keiji
AU - Shiino, Masatoshi
PY - 2011
Y1 - 2011
N2 - We report stochastic phenomena of inter-cluster synchronization in ensembles of coupled self-sustained oscillators with different time scales. A mean-field model of two interconnected clusters of coupled limit cycle oscillators having same trajectories with two native frequencies is considered to analytically derive the time evolution of the order parameters in the thermodynamic limit. A set of the order parameters obtained for the system exhibits noise induced bifurcations, including those from torus type attractors to fixed point ones for the case with two different heat baths in accordance with the introduction of the time scale.
AB - We report stochastic phenomena of inter-cluster synchronization in ensembles of coupled self-sustained oscillators with different time scales. A mean-field model of two interconnected clusters of coupled limit cycle oscillators having same trajectories with two native frequencies is considered to analytically derive the time evolution of the order parameters in the thermodynamic limit. A set of the order parameters obtained for the system exhibits noise induced bifurcations, including those from torus type attractors to fixed point ones for the case with two different heat baths in accordance with the introduction of the time scale.
UR - http://www.scopus.com/inward/record.url?scp=80051685665&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80051685665&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/302/1/012043
DO - 10.1088/1742-6596/302/1/012043
M3 - Article
AN - SCOPUS:80051685665
VL - 302
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012043
ER -