Partially Locked States in Coupled Oscillators due to Inhomogeneous   Coupling
  We investigate coupled identical phase oscillators with scale-free distribution of coupling strength. It is shown that partially locked states can occur due to the inhomogeneity in coupling and some properties of the coupling function. Various quantities of the partially locked states are computed through a self-consistency argument and the values show good agreement with simulation results. 
Tae-Wook Ko, Bard Ermentrout