Complex harmonic motion

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Complex harmonic motion is the superposition — linear combination — of several simultaneous simple harmonic motions.

Complex harmonic motion can be periodic or quasi-periodic, and can be analyzed through the techniques of harmonic analysis discovered by Fourier.

Examples of complex harmonic motion are musical chords, Lissajous curves, and finite partial sums of Fourier series. The harmonograph is approximately (or when considering friction as negligible) governed by a complex harmonic motion.

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