3 implies Chaos

It is well known that chaos arises from 3-body problems (both in the planetary sense as in Reuben's talk and in the romantic sense). In this talk, we will discuss the (not) more general statement that "3 implies chaos". Topics to be surveyed are the classical example of the logistic function, connections to the Mandelbrot set and the classical results of Li--Yorke and Sharkovsky, giving a streamlined proof of the latter due to Burns-Hasselblatt.