Chapter 3, Exploration 64

Minimize the left sidebar so you can see both graphs. For each value of \(a\), use the \(n\)-slider to determine whether there are prime period \(n\) orbits for \(n = 1,\ldots, 10\). For each parameter, make a list that summarizes what other prime periodic orbits exist for that particular value. Which of these parameter values gave you the most periodic orbits? What was the period of the attracting orbit for that parameter value?