Chaos has a sensitive dependence on initial conditions. It's found in flowing water, the stock market, celestial orbits, coastlines, weather...almost anything that's difficult to predict. What these systems have in common is that in order to know what will happen in the future, we need to know everything about the present with absolute precision.
Chaos is everywhere in nature, but it was a surprising discovery that it also appears in simple systems of equations . You can read a very mathematical definition here
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