Q1: Using Maple, find the fixed points of x->3.6*x*(1-x) (if they exist) (ii) Stable fixed points by hand


A1:
f(x) = 3.6x-(3.6x^2)
X = 0, 1 fixed points
f’(x) = 3.6 - 7.2x
|f’(0)| = 3.6, unstable
|f’(1)| = 3.6,  unstable


Q2: What other constant did Feigenbaum discover and what is its significance?


A2: The second Feigenbaum constant or Feigenbaum's alpha constant is the ratio between the width of a tine and the width of one of its two subtines.