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Interesting, from Quora:
“The mathematical version of the butterfly effect is easy to test. Some mathematical systems are chaotic and a trivial change in initial conditions will lead to large changes in the result. An example is the logistic difference equation
xn+1=rxn(1−xn)
In physical systems, the double pendulum is an example of a chaotic system, and very small changes in initial conditions lead to large changes in behavior.”
The idea of chaos theory as a thing-in-itself seems to have died an early death.