I made this animation and I barely understand it. http://bl.ocks.org/tophtucker/500d2a010105cfcc87db
It's a bunch of concentric circles with exclusion compositing. The radius of the ith circle oscillates with amplitude * Math.sin(t/speed + (t/10000)*i), where amplitude and speed are fixed parameters (changed by mouse movements) and where t is the number of milliseconds since you loaded the page. E.g., for amplitude = 5 and speed = 500, the radius of circle i at time t oscillates with period (20000π)/(20+i) in t, says WolframAlpha.
Things periodically seem sync up in cool ways, I guess when the derivative with respect to i is small? Because then the concentric circles oscillate in phase?