Dynamical Behavior of a Duffing Oscillator

forcing amplitude Γ

10

This Demonstration shows some possible solutions for the Duffing oscillator:

..

x

+γ



x

-

2

ω

x+ϵ

3

x

=Γcos(Ωt)

, a dynamical system that can exhibit chaotic behavior. Plots are shown of variations of the power spectrum, scalogram, and phase space trajectory with changes in the forcing amplitude parameter

Γ

, with fixed values of the other parameters. The power spectrum and the scalogram exhibit the frequency content of the solution.