a Poincar plot, we would get the figure below. The dots would lie exactly on the...

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a Poincar plot, we would get the figure below. The dots would lie exactly on the curve XN+1 = 4XN(1 - XN), but they fill in that curve in what looks like a random manner, though of course it isn't. Exercise 5.5.1 Why not? 1 0.8 +1 0.6 0.4 0.2- 2 0 XN 0.2 0.4 0.6 0.8 1 Figure 5.35: Poincar plot of data from the the previous figure. a Poincar plot, we would get the figure below. The dots would lie exactly on the curve XN+1 = 4XN(1 - XN), but they fill in that curve in what looks like a random manner, though of course it isn't. Exercise 5.5.1 Why not? 1 0.8 +1 0.6 0.4 0.2- 2 0 XN 0.2 0.4 0.6 0.8 1 Figure 5.35: Poincar plot of data from the the previous figure.