Paths of Two-Dimensional Oscillators

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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.

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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.

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Contributed by: Rob Morris (March 2011)
Open content licensed under CC BY-NC-SA


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