Collective Phase Sensitivity

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.

6 pages, 3 figures

References in corpus (3)

• Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators
• Synchronization of two interacting populations of oscillators
• Noise-induced Turbulence in Nonlocally Coupled Oscillators

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