Dynamics of Partial Differential Equations
Volume 4 (2007)
On the chaotic behavior of a compressed beam
Pages: 55 – 86
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.
compressed beam, chaotic solutions, bifurcation
2010 Mathematics Subject Classification