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What is chaos theory?

What is chaos theory? Here are some definitions.

Noun
  1. (mathematics) The study of iterative non-linear systems in which arbitrarily small variations in initial conditions become magnified over time.
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These are big ifs and you don't have to believe in chaos theory to see that the economic consequences of what happened yesterday could be severe.
And so they propose to apply chaos theory to that welter of information in order to find those patterns.
Mathematician benoit Mandelbrot is namedropped on page 49 in a hiccupped discussion of chaos theory.
Yet true to chaos theory, the appearance of non-linearity does not necessarily imply a lack of coherent structures.
We'll have to forgive him for forgetting that it's chaos theory, not catastrophe theory.
The team includes experts in pattern recognition, geodynamics, seismology, chaos theory, statistical physics and public safety.

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