Assignment 9/3: due Wednesday 9/4 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.

1.  For the tent map with s=1.6, graph the second return map, labeling the coordinates of the turning points.  Use this graph and its equation to find all period 2 points for the tent map with s=1.6.  Tell which of these are actually fixed points and which are part of a 2-cycle. 

2.  Use graphical iteration to locate four points which the tent map takes to the fixed point w of the picture.  Numerically calculate these four values of x in the case s=2.  Explain how you could find as many points as you like, both geometrically and algebraically.