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I recommend James Gleick's Chaos book. It will change your perspective on the world.

c = -3/2 produces nice "hyperbolic" behavior has been discussed in this video

https://www.youtube.com/watch?v=eC9-1wY7FvU

Another good one is "Complexity" by Melanie Mitchell. She was a grad student of Douglas Hofstadter's and is with the Sante Fe Institute right now if memory serves.

I read this as a kid and was totally enamored by cellular automata

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