| 1. | a state of utter confusion or disorder; a total lack of organization or order. |
| 2. | any confused, disorderly mass: a chaos of meaningless phrases. |
| 3. | the infinity of space or formless matter supposed to have preceded the existence of the ordered universe. |
| 4. | (initial capital letter ) the personification of this in any of several ancient Greek myths. |
| 5. | Obsolete. a chasm or abyss. |
A new branch of science that deals with systems whose evolution depends very sensitively upon the initial conditions. Turbulent flows of fluids (such as white water in a river) and the prediction of the weather are two areas where chaos theory has been applied with some success.
| chaos (kā'ŏs') Pronunciation Key
The behavior of systems that follow deterministic laws but appear random and unpredictable. Chaotic systems very are sensitive to initial conditions; small changes in those conditions can lead to quite different outcomes. One example of chaotic behavior is the flow of air in conditions of turbulence. See more at fractal. |
chaos mathematics
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
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)