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Periodic external input tunes the stability of delayed nonlinear systems: from the slaving principle to center manifolds

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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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Dates and versions

hal-00912418 , version 1 (02-12-2013)

Identifiers

  • HAL Id : hal-00912418 , version 1

Cite

Axel Hutt, Jérémie Lefebvre. Periodic external input tunes the stability of delayed nonlinear systems: from the slaving principle to center manifolds. 2013. ⟨hal-00912418⟩
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