Collective Phase Sensitivity
Adaptation and Self-Organizing Systems
2008-07-09 v1 Chaotic Dynamics
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.
Cite
@article{arxiv.0807.1285,
title = {Collective Phase Sensitivity},
author = {Yoji Kawamura and Hiroya Nakao and Kensuke Arai and Hiroshi Kori and Yoshiki Kuramoto},
journal= {arXiv preprint arXiv:0807.1285},
year = {2008}
}
Comments
6 pages, 3 figures