  A cell dynamical system model for deterministic chaos enables precise
quantification of the round-off error growth,i.e., deterministic chaos in
digital computer realizations of mathematical models of continuum dynamical
systems. The model predicts the following: (a) The phase space trajectory
(strange attractor) when resolved as a function of the computer accuracy has
intrinsic logarithmic spiral curvature with the quasiperiodic Penrose tiling
pattern for the internal structure. (b) The universal constant for
deterministic chaos is identified as the steady-state fractional round-off
error k for each computational step and is equal to 1 /sqr(tau) (=0.382) where
tau is the golden mean. (c) The Feigenbaum's universal constants a and d are
functions of k and, further, the expression 2(a**2) = (pie)*d quantifies the
steady-state ordered emergence of the fractal geometry of the strange
attractor. (d) The power spectra of chaotic dynamical systems follow the
universal and unique inverse power law form of the statistical normal
distribution.
