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arXiv · 0807.1285

Collective Phase Sensitivity

Yoji Kawamura·Hiroya Nakao·Kensuke Arai·Hiroshi Kori·Yoshiki Kuramoto
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Abstract

The collective phase response to a macroscopic external perturbation of a population of interacting nonlinear elements exhibiting collective oscillations is formulated for the case of globally-coupled oscillators. The macroscopic phase sensitivity is derived from the microscopic phase sensitivity of the constituent oscillators by a two-step phase reduction. We apply this result to quantify the stability of the macroscopic common-noise induced synchronization of two uncoupled populations of oscillators undergoing coherent collective oscillations.

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Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Hiroshi Kori, Yoshiki Kuramoto. 2008-07-08. Collective Phase Sensitivity. https://doi.org/10.1103/physrevlett.101.024101

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