Collective Phase Sensitivity

2008/07/08 by Yoji Kawamura, Hiroya Nakao, Kensuke Arai +2 · 3 citations
Physics and Astronomy · #nlin.AO #nlin.CD

paper · pdf · doi:10.1103/physrevlett.101.024101

published as Phys. Rev. Lett. 101, 024101 (2008) · 6 pages, 3 figures

arxiv created 2008/07/08 · arxiv updated 2009/12/01

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.

Cited by

• Higher-order interactions for controlling time-delayed Kuramoto model
• Common Noise-Induced Group-Level Synchronization Between Uncoupled Groups of Oscillators
• Optimal control for phase locking of synchronized oscillator populations via dynamical reduction techniques

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• Collective phase description of globally coupled excitable elements
• Noise-induced synchronization of a large population of globally coupled nonidentical oscillators
• Common Noise-Induced Group-Level Synchronization Between Uncoupled Groups of Oscillators
• Synchronization of globally-coupled phase oscillators: singularities and scaling for general couplings
• Interplay of coupling and common noise at the transition to synchrony in oscillator populations