Steven Strogatz has done a lot of work on things like this in the past - including this experiment. http://www.ted.com/talks/steven_strogatz_on_sync.html http:

Steven Strogatz has done a lot of work on things like this in the past - including this experiment. http://www.ted.com/talks/steven_strogatz_on_sync.html http://www.ted.com/talks/steven_strogatz_on_sync.html In the simple case of just two metronomes on a single moving plane, the tendency for sync is governed by a non linear differential equation. The math gets rather complicated: http://salt.uaa.alaska.edu/dept/metro.pdf http://salt.uaa.alaska.edu/dept/metro.pdf