Earlier quoted context omitted.
That was a fun read. But it was written at the height of interest in chaos theory and so some of the curious things it talked about, like the Feigenbaum constants, went nowhere
Did chaos theory as a whole go anywhere? Where is it used, meteorology?
Didn't really go very far. It's a subfield of dynamical systems, and some of its results have been used there. People continue to study it, but it's more in the pure math area, at this point anyway. Recently I heard about some new research into "wild chaos" which sounds interesting.