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arXiv · 1705.01038

Noise-induced stabilization of collective dynamics

Pau Clusella·Antonio Politi
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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.

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Pau Clusella, Antonio Politi. 2017-06-01. Noise-induced stabilization of collective dynamics. https://doi.org/10.1103/physreve.95.062221

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