This is a more primitive (rev 1) Tclet.
Two nearby initial points are provided (not adjustable).
Watch to see if they converge or diverge, for varous
choices of R.
Buttons
- KL Step: does one step of KL process (vertigo-horrid)
- Clear: removes red cobweb, retains current value of X
Slider
- When you move the R slider, you:
- adjust the control parameter [ R in the logistic function, R*X*(1-X) ]
- redraw the green graph of the logistic function, X between 0 and 1, and
- clear the screen of the red KL web
- BUT, the current value of X is remembered.
Suggestions
Experiment with values of R everywhere, but especially:
- R in [0.5, 2.8]: an attractive fixed point
- R around 3.2: an attractive 2-periodic cycle
- R around 3.5: an attractive 4-periodic cycle
- R in [3.6, 4.0]: lots of chaotic behavior
- R around 3.83: an attractive 3-periodic cycle
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