title: 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.
authors.affiliation: The Earth Simulator Center, Japan Agency for Marine-Earth Science and Technology, Yokohama 236-0001, Japan.
authors.forename: Yoji
authors.initials: Y
authors.lastname: Kawamura
authors.forename: Hiroya
authors.initials: H
authors.lastname: Nakao
authors.forename: Kensuke
authors.initials: K
authors.lastname: Arai
authors.forename: Hiroshi
authors.initials: H
authors.lastname: Kori
authors.forename: Yoshiki
authors.initials: Y
authors.lastname: Kuramoto