It's handwavy but I can't help but think that because of the way symbolic dynamics works that you can't find families of approximating functions inside turbulence even though I can't see it being practical, like sensitive dependence on initial conditions will make noise overwhelm your ability to take measurements. See

https://en.wikipedia.org/wiki/Chaos_computing

https://pubs.aip.org/aip/cha/article-abstract/35/9/093112/33...