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Fnkcook
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Given a general solution to the fixed-end two-mass coupled harmonic oscillator(http://teacher.pas.rochester.edu/PHY235/LectureNotes/Chapter12/Chapter12.pdf), is there a set of initial conditions for position, velocity, the 3 spring constants, and 2 masses such that a transition from random phase oscillation to synchronized oscillation can be observed in the solution for position versus time for the two masses? I have in mind the effect observed in the synchronization of metronomes (http://www.cbsnews.com/8301-504784_162-57520822-10391705/watch-the-synchronisation-of-32-metronomes-with-an-explanation-behind-it/) and wonder if a similar transition can be observed in the fixed-end two-mass coupled harmonic oscillator.