Modulating the potential energy of a resonator can lead to parametric amplification of oscillations. Beyond a threshold, this amplification drives the system into one of two possible “phase states”. These states offer the possibility of performing logic operations with nonlinear resonators, and in particular can be harnessed for so-called “Ising machines”. In this talk, I will show parametric oscillators can be experimentally realized with nanomechanical or electrical resonators, and how several resonators are coupled to create small networks. The physics observed in such networks is very rich, going far beyond what is needed for Ising machines. I will demonstrate how the system can be tuned into a regime where Ising Hamiltonians can be simulated, and what challenges persist in the field.