keybd INPUT yes screen home lf swiss13 on %j,%x 54 fmtlist fmt \n\N:=\F yes 1 yes fixed 2 degrees off 101.00 1.00 1.00 0.00 10 10 j,x home The emergence of chaotic dynamics from simpler behavior may be observed in this example called the logistic map. The iterative equation: x:=r*x*(1-x) exhibits a variety of behaviors, depending upon its initial value, and the value of the parameter r. To explore the behavior of this equation, set values for r and x, return to the home cell, and select Evaluate from the Special menu. For a value of the parameter r of 0.4, and an initial x value of 0.7, successive values of x approach zero and stay there. For an r value of 2.4, and initial x value 0f 0.7, successive values of x approach a constant 0.583. For r=3.0, and an initial x, of 0.5; an extended damped oscillation takes place between between two numbers. For r=3.5, initial x=0.7; an extended oscillation among four numbers takes place. For r=3.8, initial x=0.7; a chaotic sequence of numbers is the result. For more information on the period doubling approach to chaos, see the book: Creating Artificial Life, by Edward Rietman; from which this example was taken. 0.89 j 152.00 r 3.6 x 0.89