Parameterized digital hardware design of pulse-coupled phase oscillator networks

This paper proposes a parameterized digital hardware design of pulse-coupled phase oscillator networks that exhibit various synchronization phenomena. We introduce a discretization model with three-valued coupled functions to construct simplified pulse-coupled phase oscillators for parameterized design. The designed digital phase oscillator circuit can change the calculation accuracy and the coupling function shape of oscillators by parameters. One- and two-dimensional pulse-coupled phase oscillator networks are emulated using the designed phase oscillators by setting parameters for the desired network. Experimental results show that the proposed circuit emulates in-/anti-phase and different (out-of-phase) synchronization in two pulse-coupled phase oscillators effectively in an analog large scale integration implementation, and also various synchronization phenomena are observed in large-scale one- and two-dimensional networks.