Contents Online

# Dynamics of Partial Differential Equations

## Volume 4 (2007)

### Number 1

### On the chaotic behavior of a compressed beam

Pages: 55 – 86

DOI: http://dx.doi.org/10.4310/DPDE.2007.v4.n1.a2

#### Authors

#### 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.

#### Keywords

compressed beam, chaotic solutions, bifurcation

#### 2010 Mathematics Subject Classification

35-xx, 37-xx