Chaos Theory

Chaos theory is concerned with unpredictable courses of events. The irregular and unpredictable time evolution of many nonlinear and complex linear systems has been named chaos. Chaos is best illustrated by Lorentz' famous butterfly effect: the notion that a butterfly stirring the air in Hong Kong today can transform storm systems in New York next month. The definition of deterministic chaos implies that our prediction in the form of a model, for instance, is very sensitive to the initial conditions. The difference between predictions with slightly different initial conditions grows exponentially:

where d(t) is the difference between the two predictions at time t and d(0) at time zero, tis the time, and a is a positive number.

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