Motions in chaotic behavor is based on nonlinearity of the
mechnical systems.

However, chaos is not a random motion. As you have seen, the
motion can be described with a specific nested structure, which is
called fractal.

Such physical systems are analyzed with the dynamical system,
Lyapunov exponent, time series, Fourier transformation, and other
statistical methods.

The part of this video clip is from "Fractals."

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