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arXiv · 1312.7054

Collective phase dynamics of globally coupled oscillators: Noise-induced anti-phase synchronization

Yoji Kawamura
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Abstract

We formulate a theory for the collective phase description of globally coupled noisy limit-cycle oscillators exhibiting macroscopic rhythms. Collective phase equations describing such macroscopic rhythms are derived by means of a two-step phase reduction. The collective phase sensitivity and collective phase coupling functions, which quantitatively characterize the macroscopic rhythms, are illustrated using three representative models of limit-cycle oscillators. As an important result of the theory, we demonstrate noise-induced anti-phase synchronization between macroscopic rhythms by direct numerical simulations of the three models.

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Yoji Kawamura. 2013-12-26. Collective phase dynamics of globally coupled oscillators: Noise-induced anti-phase synchronization. https://doi.org/10.1016/j.physd.2013.12.004

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