Notes

Defn 1.8: Is point p, a periodic sink also a sink?

NO! We have the map $f(x) = -\sqrt{\abs(x)}$ which is NOT a sink for points near 1, but the 2-period map IS! In other words, the point 1 is a periodic sink of period 2, but not a sink.

Quick proof of stability of periodic orbits.

for 1.7, note that the polynomial division is simpler if you take 4x-3 instead of x-3/4.

page 23. For ANY number from 0 to 1, can you make a logistic map such that that number is a two periodic orbit? what about n-periodic orbit?