That was once a popular belief, but we have moved past that historical concept. Here is a paper that is fairly accessible that may help. https://home.csulb.ed

That was once a popular belief, but we have moved past that historical concept. Here is a paper that is fairly accessible that may help. https://home.csulb.edu/~scrass/teaching/math456/articles/sensitive_dep_initial_cond.pdf https://home.csulb.edu/~scrass/teaching/math456/articles/sen... It becomes important when you have a need to make useful models, or to know when you probably won't be able to find a practical approximation. It is similar to the erroneous explanation of entropy as disorder, which is fundamentally false, yet popular. It has real implications, like frustrating the efforts to make ANNs that are closer to biological neurons: https://arxiv.org/abs/2303.13921 https://arxiv.org/abs/2303.13921 Or even model realistic population dynamics. > It has been shown how simple ecosystem models can generate qualitative unpredictability above and beyond simple chaos or alternate basin structures. https://www.researchgate.net/publication/241757794_Wada_basins_and_qualitative_unpredictability_in_ecological_models_A_graphical_interpretation https://www.researchgate.net/publication/241757794_Wada_basi... Chaotic, riddled, and wada can be viewed as deterministic, practically indeterminate, and strongly indeterminate respectfully. If you want to hold on to the flawed popular understanding of the butterfly effect that is fine, you just won't be able to solve some problems that are open to approximation and please don't design any encryption algorithms. I think realizing it is simply a popular didactic half truth, is helpful.