That seems unsurprising, right? Probably all physics we experience - light-surface interactions, surfaces at the atomic scale, and waves in air and water - are all made entirely of only small perturbations, but enough of them the result is statistically stable.
The popular idea of the butterfly effect in weather has always seemed suspect to me, due to the fact that air is a naturally damped system; a butterfly’s influence on air drops over distance, and likely falls off fast enough that the probability it can affect something even a few miles away is below atomic or quantum thresholds. The analogy between weather and simple mathematical chaotic systems seems specious.
Looking around a little it seems like some physicists are starting to agree, and believe Lorenz’ observations based on his weather modeling has more to do with the modeling and limited numerics than reality: “the limited predictability within the Lorenz 1969 model is explained by scale interactions in one article[22] and by system ill-conditioning in another more recent study.[25]” https://en.wikipedia.org/wiki/Butterfly_effect#Recent_debate...
