Effects of noise on synchronization phenomena exhibited by mean-field coupled limit cycle oscillators with two natural frequencies

Keiji Okumura, Akihisa Ichiki, Masatoshi Shiino

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Relationships between inter-cluster synchronization phenomena and external noise are studied on the basis of noise level-free analysis. We consider a mean-field model of ensembles of coupled limit cycle oscillators with two natural frequencies, which are subjected to external white Gaussian noise. Using a nonlinear FokkerPlanck equation approach, we analytically derive the order parameter equations associated with nonequilibrium phase transitions in the thermodynamic limit. Solving them numerically, we systematically investigate the model parameter dependences of the appearance and disappearance of synchronization phenomena. Demonstrating bifurcations from chaotic attractors in the deterministic limit to limit cycle attractors with increasing noise intensity, we confirm the occurrence of nonequilibrium phase transitions including inter-cluster synchronization induced by external white Gaussian noise.

Original languageEnglish
Pages (from-to)794-797
Number of pages4
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Volume43
Issue number3
DOIs
Publication statusPublished - 2011 Jan
Externally publishedYes

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resonant frequencies
Natural frequencies
synchronism
Synchronization
oscillators
cycles
random noise
Phase transitions
Nonlinear equations
noise intensity
Thermodynamics
nonlinear equations
occurrences
thermodynamics

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • Electronic, Optical and Magnetic Materials

Cite this

Effects of noise on synchronization phenomena exhibited by mean-field coupled limit cycle oscillators with two natural frequencies. / Okumura, Keiji; Ichiki, Akihisa; Shiino, Masatoshi.

In: Physica E: Low-Dimensional Systems and Nanostructures, Vol. 43, No. 3, 01.2011, p. 794-797.

Research output: Contribution to journalArticle

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