Deven Singh

First Attendance Question: Using Maple, Find the (i) fixed points of x -> 3.6*x(1-x) (if they exist, if not then say so) (ii) Stable fixed points

f(x) = 3.6x-3.6x^2 = x
x(2.6-3.6x) = 0
x  = 0, .72

f’(x) = 3.6 - 3.6*2*x = 3.6-7.2x
f’(0) = 3.6
f’(.72)

FP(f,x);
0,.72

SFP(f,x);
None 

Fixed Points are 0 and .72. There are no stable fixed points.

Last Attendance Question: What other constant did Feigenbaum discover?

The Feigenbaum alpha constant