Question: Compute a so-called cob-web plot of the logistic map Xn+1 = r xn (1 Xn), according to the following rules: For a given recursion f:


Compute a so-called cob-web plot of the logistic map Xn+1 = r xn (1 Xn), according to the following rules: For a given recursion f: R R, a cob-web consists of a diagonal (x = y) line and a function curve representing y = f(x). Here, y = r xn (1 Xn). Select r anywhere between 3 and 4 and draw the diagonal and the function curve. Now start with a value Xo on the x-axis and apply the following steps. Find the point on the function curve with an x-coordinate of Xo. This has the coordinates (xo, f(xo)). Plot horizontally across from this point to the diagonal line. This has the coordinates (f(xo), f(xo)). Plot vertically from the point on the diagonal to the function curve. This has the coordinates (f(xo), f(f(xo))). Repeat from step 2 many times and provide a plot of your results
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
