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.
F. BATTELLI, M. FECKAN, M. FRANCA (2007). On the chaotic behavior of a compressed beam. DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 4(1), 55-86.
On the chaotic behavior of a compressed beam
M. FRANCAMembro 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.File in questo prodotto:
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