Abstract
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.
Original language | English |
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Article number | 062221 |
Pages (from-to) | 1-9 |
Number of pages | 9 |
Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |
Volume | 95 |
Issue number | 6 |
Early online date | 23 Jun 2017 |
DOIs | |
Publication status | Published - Jun 2017 |
Bibliographical note
ACKNOWLEDGMENTThis work has been financially supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 642563 (COSMOS).