Period Doubling route to Chaos. This is a simple mathematical equation to model population that displays complex behavior. It's a good demonstration of point, periodic, and strange attractors. Unfortunately you have to download it to change the rate of growth (r) value in the code, so it is pretty boring on the web. Good values of rateofGrowth to demonstrate sensitive dependence: Time step 5, turn off erase previous and run the following values: 3.8000000 3.8000001 3.8000002 3.8000003 etc. if you want. Good values to demonstrate attractors: point: 2.9 periodic:3.2 Strange: 3.9