Forced Duffing Oscillator (Scripts) Publisher's description
from Housam Binous
The forced Duffing oscillator exhibits behavior ranging from limit cycles to chaos due to its nonlinear dynamics
The forced Duffing oscillator exhibits behavior ranging from limit cycles to chaos due to its nonlinear dynamics. When the periodic force that drives the system is large, chaotic behavior emerges and the phase space diagram is a strange attractor. In that case the behavior of the system is sensitive to the initial condition. In order to plot a PoincarГ© section, take one data point from phase space per period of the driving force. The PoincarГ© section is a complicated fractal curve when the phase diagram is a strange attractor. The PoincarГ© section is a single point when the phase space diagram is a limit cycle.
Here is a link to a Mathematica 6.0 Demonstration concerning the forced Duffing oscillator:
System Requirements:MATLAB 7.0.1 (R14SP1)
Program Release Status: New Release
Program Install Support: Install and Uninstall