Noise-induced stabilization of collective dynamics

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 numerically and semi-analytically that a very small white noise is able to stabilize an otherwise linearly unstable collective periodic regime. Microscopic simulations reveal two noise-induced bifurcations of different nature towards self-consistent partial synchrony. We develop a macroscopic treatment solving the corresponding nonlinear Fokker-Planck equation by means of a perturbative approach. The associated linear stability analysis confirms the results anticipated by the numerics. We also argue about the generality of the phenomenon.

References in corpus (4)

• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• The Kuramoto model of coupled oscillators with a bi-harmonic coupling function
• Noise-induced bifurcations, Multiscaling and On-Off intermittency
• Synchronization transitions in ensembles of noisy oscillators with bi-harmonic coupling