Assignment 9/5:  due Friday 9/6 at 3PM

Turn in individual solutions. You may work together in solving the problems, or get help from others, but the final write-up should be your own. Do not turn in anything you cannot explain completely.

Chaos Under Control p. 394  #4.3, #4.4, and #4.5

a.  Find the first 12 iterates of x=.5 and x=.49.  Does the dynamical system for the tent map with s=1.6 exhibit sensitive dependence on initial conditions?

b.  Use the graph of this tent map to explain why the attractor for this s value is what the bifurcation diagram on p 155 shows it to be.  Use the graph of the tent map and its equation to find the upper and lower bounds of the attractor for this s.