Wolfram Demonstrations Project

A two-dimensional oscillator produces a Lissajous figure. The figure will be closed if the angular frequencies

and

in the

and

directions are commensurable; it will eventually fill the square otherwise.

Watch the evolution of the resulting path by varying the ratio

. For this Demonstration, the amplitudes and phases of the oscillations are taken to be equal.

Contributed by: Rob Morris

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Paths of Two-Dimensional Oscillators