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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
chaos
A property of some non-linear dynamic systems
which exhibit sensitive dependence on initial conditions.
This means that there are initial states which evolve within
some finite time to states whose separation in one or more
dimensions of state space depends, in an average sense,
exponentially on their initial separation.
Such systems may still be completely deterministic in that
any future state of the system depends only on the initial
conditions and the equations describing the change of the
system with time. It may, however, require arbitrarily high
precision to actually calculate a future state to within some
finite precision.
["On defining chaos", R. Glynn Holt
and D. Lynn Holt
.
(ftp://mrcnext.cso.uiuc.edu/pub/etext/ippe/preprints/Phil_of_Science/Holt_and_Holt.On_Defining_Chaos)]
Fixed precision floating-point arithmetic, as used by most
computers, may actually introduce chaotic dependence on
initial conditions due to the accumulation of rounding errors
(which constitutes a non-linear system).
(1995-02-07)