Paths of Two-Dimensional Oscillators

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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 (March 2011)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.