  We consider a system of N phase oscillators having randomly distributed
natural frequencies and diagonalizable interactions among the oscillators. We
show that in the limit of N going to infinity, all solutions of such a system
are incoherent with probability one for any strength of coupling, which implies
that there is no sharp transition from incoherence to coherence as the coupling
strength is increased, in striking contrast to Kuramoto's (special) oscillator
system.
