Number of stimulation units needed to derive all the phase patterns in pulse-driven star-coupled LC oscillators

The LC oscillators star-coupled by one resistor exhibit N-phase oscillation and we can get (N - 1)! stable phase states. Using the relationship between the initial states and the phase patterns, we can use the system as some kinds of the neural networks and the associative memories. In this study, we analyze the scheme of the phase pattern switching and the number of stimulation units needed to derive all the phase patterns in pulse-driven star-coupled LC oscillators. In particular, we claim that we need N - 2 stimulation units are needed to derive all the patterns.