We illustrate a counter-intuitive effect of an additive stochastic force, which acts independently on each element of an ensemble of globally coupled oscillators. We show that a very small white noise does not only broaden the clusters, wherever they are induced by the deterministic forces, but can also stabilize a linearly unstable collective periodic regime: self-consistent partial synchrony. With the help of microscopic simulations we are able to identify two noise-induced bifurcations. A macroscopic analysis, based on a perturbative solution of the associated nonlinear Fokker-Planck equation, confirms the numerical studies and allows determining the eigenvalues of the stability problem. We finally argue about the generality of the phenomenon.
|Number of pages||9|
|Journal||Physical Review. E, Statistical, Nonlinear and Soft Matter Physics|
|Early online date||23 Jun 2017|
|Publication status||Published - Jun 2017|
Clusella, P., & Politi, A. (2017). Noise-induced stabilization of collective dynamics. Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, 95(6), 1-9. . https://doi.org/10.1103/PhysRevE.95.062221