Bifurcation phenomena of mean-field coupled self-sustained oscillators with two different time scales under the influence of external white noise

Keiji Okumura, Masatoshi Shiino

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Article number012043
JournalJournal of Physics: Conference Series
Volume302
Issue number1
DOIs
Publication statusPublished - 2011
Externally publishedYes

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white noise
oscillators
baths
synchronism
trajectories
heat
thermodynamics
cycles

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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.

In: Journal of Physics: Conference Series, Vol. 302, No. 1, 012043, 2011.

Research output: Contribution to journalArticle

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