Collective Phase Sensitivity

Details Collective Phase Sensitivity Collective Phase Sensitivity

2008-07-08

arxiv.org/abs/0807.1285v1

Phys. Rev. Lett. 101, 024101 (2008)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

6 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.101.024101

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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