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Journal Articles EPL - Europhysics Letters Year : 2013

Additive noise quenches delay-induced oscillations


Noise has significant impact on nonlinear phenomena. Here we demonstrate that, in opposition to previous assumptions, additive noise interfere with the linear stability of scalar nonlinear sys- tems when these are subject to time delay. We show this by performing a recently designed time- dependent delayed center manifold (DCM) reduction around an Hopf bifurcation in a model of nonlinear negative feedback. Using this, we show that noise intensity must be considered as a bifur- cation parameter and thus shifts the threshold at which emerge delay-induced rhythmic solutions.
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hal-00847167 , version 1 (22-07-2013)



Jérémie Lefebvre, Axel Hutt. Additive noise quenches delay-induced oscillations. EPL - Europhysics Letters, 2013, ⟨10.1209/0295-5075/102/60003⟩. ⟨hal-00847167⟩
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