WOLFRAM|DEMONSTRATIONS PROJECT

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.