The+Chaos+Theory

The Chaos Theory

The Chaos theory is essentially a field of study in applied mathematics that has several uses in other subject areas such as physics, economics, biology, and philosophy. The Chaos theory is meant to study the behavior of dynamical systems, a concept in which a mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space, that are highly sensitive to initial conditions. The Chaos theory can be closely compared to the butterfly effect. Basically the theory is that small differences in "initial conditions" like rounding errors can yield widely diverging outcomes for chaotic systems. These errors can throw off long-term predictions. This can also happen in systems that are deterministic, meaning that their future behavior is determined by their initial conditions even if no random elements were involved. This behavior is known as deterministic chaos. This happens in mathematics, programming, microbiology, computer science, robotics, meteorology, politics, physics, etc.