Constraints on Synchronizing Oscillator Networks

This paper investigates the constraints placed on some synchronized oscil-lator models by their underlying dynamics. Phase response graphs are used to determine the phase locking behaviours of three oscillator models. These results are compared with idealized phase response graphs for single phase and multiple phase systems. We nd that all three oscillators studied are best suited to operate in a single phase system and that the requirements placed on oscillatory models for operation in a multiple phase system are not compatible with the underlying dynamics of oscillatory behaviour for these types of oscillator models.