That's true of everything in the Universe, and indeed, of the Universe as a whole.
In short, you have to actually demonstrate this, not simply assert it.Digital computers can realise only a very very small fraction of the dynamics we understand;mathematically they only map one big integer into another big integer.
In short: they fall short well before normal "stuff" falls short.
hi PixyMisa,
do which bit did i not say clearly enough?
1) digital computers, per se, have digital memory: a finite number of bits. thus "one big integer"
coded in this integer are instructions that lead the machine to change its state to another big integer.
as a finite state machine, it will eventually visit a previous state, and thereafter go about in cycles.
2) digital arithmetic is unable to capture a great deal of mathematics. there is a million dollar prize for showing out there just for showing it is possible (or proving it is no) for infinitesimally small perturbations in partial differential equations to blow up in finite time: that would be much worse that "chaos"! and impossible to accurately simulate an a digital machine.
http://www.claymath.org/millennium/Navier-Stokes_Equations/
3) "chaos" (of the ed lorenz variety) cannot be accurately simulated on a digital machine either. i think there was a thread on this some years ago.
was that the kind of demonstration you were asking for? if not i am happy to try again.