I think Wolfram's work is quite different in flavour - he focuses on discrete dynamical systems (graphs/cellular automata, stuff like that) whereas OP is about

I think Wolfram's work is quite different in flavour - he focuses on discrete dynamical systems (graphs/cellular automata, stuff like that) whereas OP is about continuous iterated systems like the Mandelbrot set (which afaik have a much older history in mathematics).