Additive noise quenches delay-induced oscillations - Archive ouverte HAL Access content directly
Journal Articles EPL - Europhysics Letters Year : 2013

Additive noise quenches delay-induced oscillations

(1) , (2)
1
2

Abstract

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.
Fichier principal
Vignette du fichier
Hopf_v4_Axel.pdf (2.18 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00847167 , version 1 (22-07-2013)

Identifiers

Cite

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

Altmetric

Share

Gmail Facebook Twitter LinkedIn More