> poor resolution

afaik the point with chaotic systems is that even if the system is deterministic and your measurement of the initial conditions is near-perfect, your predictions will diverge from the real thing pretty quickly, because any errors get magnified a lot

If you try looking at finer and finer details, you'll quickly run into quantum effects and the uncertainty principle. If even the smallest parts of a system aren't deterministic, how can the outcome be predicted?

John Bell would like to have a word with you.