Phase Portraits

Last updated: Sunday, September 25, 2005, 2:26 AM EDT

These are some phase portraits I've made for a homework assignment. (A phase portrait is a graph showing the trajectories of a system.) Anyways, the different basins of attraction were to be color coded. I decided to use GIMP to do the color coding in a more creative way.

Pendulum

 

Duffing's Equation, a<0

 

Duffing's Equation, a>0