  We investigate a generalized Kuramoto phase-oscillator model with Hebb-like
couplings that evolve according to a stochastic differential equation on
various topologies. Numerical simulations show that even with identical
oscillators, there is a regime in the nearest-neighbor coupling topologies and
a complex network topology where oscillators move between an in phase and
anti-phase state. Phase diagrams show the transition probabilities as a
function of the noise strength and rate of evolution of network coupling. A
minimal theoretical model allows us to understand these transitions.
