Additive noise quenches delay-induced oscillations

Jérémie Lefebvre 1 Axel Hutt 2
2 NEUROSYS - Analysis and modeling of neural systems by a system neuroscience approach
Inria Nancy - Grand Est, LORIA - AIS - Department of Complex Systems, Artificial Intelligence & Robotics
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.
Type de document :
Article dans une revue
EPL - Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2013, 〈10.1209/0295-5075/102/60003〉
Liste complète des métadonnées

https://hal.inria.fr/hal-00847167
Contributeur : Axel Hutt <>
Soumis le : lundi 22 juillet 2013 - 18:25:39
Dernière modification le : mercredi 28 septembre 2016 - 11:01:08
Document(s) archivé(s) le : mercredi 5 avril 2017 - 16:14:46

Fichier

Hopf_v4_Axel.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Jérémie Lefebvre, Axel Hutt. Additive noise quenches delay-induced oscillations. EPL - Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2013, 〈10.1209/0295-5075/102/60003〉. 〈hal-00847167〉

Partager

Métriques

Consultations de la notice

300

Téléchargements de fichiers

126