I believe you're underestimating the state-of-the-art. See [1], for example, which claims a method for saying that a sufficiently good numerical solution implie

I believe you're underestimating the state-of-the-art. See [1], for example, which claims a method for saying that a sufficiently good numerical solution implies an exact periodic solution close by. (I doubt that the author of the original article did anything like this.) [1] http://ww2.ii.uj.edu.pl/~kapela/papers/nosym.pdf http://ww2.ii.uj.edu.pl/~kapela/papers/nosym.pdf