Noise-induced stabilization of collective dynamics

被引:6
|
作者
Clusella, Pau [1 ,2 ]
Politi, Antonio [1 ]
机构
[1] Univ Aberdeen, SUPA, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE, Scotland
[2] Univ Florence, Dipartimento Fis, I-50019 Sesto Fiorentino, Italy
关键词
OSCILLATORS; ENTRAINMENT; RESONANCE; MOTION; MODEL;
D O I
10.1103/PhysRevE.95.062221
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We illustrate a counterintuitive 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 not only broadens 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.
引用
收藏
页数:9
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