Many things exhibit something that resembles simple harmonic motion (abbreviated SHO).

Waves rise and fall with a regular pattern and a slinky oscillates.

To analyze simple harmonic motion, we turn to the sine and cosine functions which are also periodic.

With a bit of tweaking, according to different amplitudes and starting points, a harmonic motion equation can describe such periodic functions.

However, such methods only work for small displacements.

When the displacements get large enough, nonlinear effects come into play.

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