Chaotic systems are unpredictable over long time scales from "summary" of Chaos by James Gleick
The idea that chaotic systems are unpredictable over long time scales is a fundamental principle of chaos theory. Gleick delves deep into the concept, illustrating how even the smallest perturbation in the initial conditions of a chaotic system can lead to vastly different outcomes over time. This sensitivity to initial conditions is what makes chaotic systems so unpredictable in the long run. Gleick uses the example of the weather to illustrate this point. He explains how the flutter of a butterfly's wings in Brazil could set off a chain reaction of events that ultimately leads to a tornado in Texas. While this may seem like an extreme and unlikely scenario, it is a powerful demonstration of the unpredictability of chaotic systems over long time sca...
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