InforLorV4, Main, Exploration, bibRecord, 000853

Stochastic center manifold analysis in scalar nonlinear systems involving distributed delays and additive noise

Identifieur interne : 000853 ( Main/Exploration ); précédent : 000852; suivant : 000854

Stochastic center manifold analysis in scalar nonlinear systems involving distributed delays and additive noise

Auteurs : Axel Hutt [France] ; Jérémie Lefebvre [Suisse]

Source :

RBID : Hal:hal-01006388

Abstract

This study reviews and extends a recent center manifold analysis technique developped to characterize stochastic bifurcations in delayed systems induced by additive noise. Motivated by the dynamics of spatially extended neural field models with finite propagation velocity, we revealed and fully characterized codimension 1 stochastic bifurcations induced by additive white noise. In contrast to previous studies, we here extended our analysis to the case of distributed delays while applying our results to the stochastic Hopf bifurcation. Taken together, our results provide further insight on the conjugate role of noise and delays in the genesis non-linear phenomena.

Url:

https://hal.inria.fr/hal-01006388

Affiliations:

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Le document en format XML

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<front><div type="abstract" xml:lang="en">This study reviews and extends a recent center manifold analysis technique developped to characterize stochastic bifurcations in delayed systems induced by additive noise. Motivated by the dynamics of spatially extended neural field models with finite propagation velocity, we revealed and fully characterized codimension 1 stochastic bifurcations induced by additive white noise. In contrast to previous studies, we here extended our analysis to the case of distributed delays while applying our results to the stochastic Hopf bifurcation. Taken together, our results provide further insight on the conjugate role of noise and delays in the genesis non-linear phenomena.</div>
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Stochastic center manifold analysis in scalar nonlinear systems involving distributed delays and additive noise

Stochastic center manifold analysis in scalar nonlinear systems involving distributed delays and additive noise

Source :

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri