Chapter 10.6, Problem 3E

Interpretation Introduction

Interpretation:

To plot the cobweb for the corresponding superstable $\text{6-}$ cycle, given that it occurs at $\text{r = 3}\text{.6275575}$ for the logistic map and $\text{r = 0}\text{.8811406}$ for the sine map. Also, find the iteration pattern for both cycles and confirm that they match.

Concept Introduction:

• The logistic map is a difference function of the unit interval, and it is super stable at the period $\text{2 - R}$ cycle.

• The logistic map and the sine map functions of the interval window are the same and they are super stable at the period $\text{2-R}$ cycle.