We study a PDE modelling a compressed beam with small friction and subjected to a periodic forcing of small amplitude. We assume that the load of the beam is resonant to the $i$-th eigenvalue of the associated unperturbed problem and prove that, when both forcing and damping are sufficiently small the equation exhibits chaotic behaviour.

On the chaotic behavior of a compressed beam

M. FRANCA
Membro del Collaboration Group
2007

Abstract

We study a PDE modelling a compressed beam with small friction and subjected to a periodic forcing of small amplitude. We assume that the load of the beam is resonant to the $i$-th eigenvalue of the associated unperturbed problem and prove that, when both forcing and damping are sufficiently small the equation exhibits chaotic behaviour.
2007
F. BATTELLI; M. FECKAN; M. FRANCA
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/725399
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