Periodic external input tunes the stability of delayed nonlinear systems: from the slaving principle to center manifolds
Identifieur interne : 003B60 ( Hal/Curation ); précédent : 003B59; suivant : 003B61Periodic external input tunes the stability of delayed nonlinear systems: from the slaving principle to center manifolds
Auteurs : Axel Hutt [France] ; Jérémie Lefebvre [Suisse]Source :
Abstract
The work illustrates a recent analysis technique that demon- strates that external periodic input affects the stability of the time- averaged nonlinear dynamics of a delayed system. At first, the article introduces the fundamental elements of delayed differential equations and then applies these to a nonlinear delayed problem close to a trans- critical bifurcation. We observe a shift of stability in the system induced by the fast periodic driving.
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<front><div type="abstract" xml:lang="en">The work illustrates a recent analysis technique that demon- strates that external periodic input affects the stability of the time- averaged nonlinear dynamics of a delayed system. At first, the article introduces the fundamental elements of delayed differential equations and then applies these to a nonlinear delayed problem close to a trans- critical bifurcation. We observe a shift of stability in the system induced by the fast periodic driving.</div>
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