Learning and recalling of phase pattern in coupled BVP oscillators

We study a learning and recalling model of phase patterns in a coupled oscillators system. The model used is BVP oscillators coupled from the excitatory unit to both the excitatory and the inhibitory unit. Both coupling strengths are modulated based on the general Hebbian learning rule that depends on the activity of the oscillators. We introduce a parameter, α, which adjusts the ratio of each loading. Applying the phase dynamics theory, which was proposed by Kuramoto, to the present model we determine the adjustable parameter α in order to bring the stable phase point in the phase equation to the teacher phase relation under a first-order approximation. We numerically ascertain that the recalling phase patterns agree well with the teacher phase pattern all over the range at a certain value of α. Our results show that the exact recalling of the various teacher phase pattern can be achieved by the present model with the Hebbian rule, independent of the number of oscillators.