Chaos theory is a field of study in
mathematics, with applications in several disciplines including physics,
engineering, economics, biology, and philosophy.
Chaos theory studies the behavior of dynamical systems that are
highly sensitive to initial conditions, an effect which is popularly referred
to as the butterfly effect. Small differences in initial conditions (such as
those due to rounding errors in numerical computation) yield widely diverging
outcomes for chaotic systems, rendering long-term prediction impossible in
general. This happens even though these systems are deterministic, meaning that
their future behavior is fully determined by their initial conditions, with no
random elements involved. In other words, the deterministic nature of these systems
does not make them predictable. This behavior is known as deterministic chaos,
or simply chaos.
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