Download this project! Project Notes
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
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(link to forums) please check this out
Very interesting! 37 and 38 give nice results.
Thanks Paddle2See! It needs a way to either let the user type in a value for r, or constrain the slider for the variable between a range of 0 to 4 with 4 decimal places. Maybe that's not what Scratch is built for... but I can dream, can't I?
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