In this study, the nonlinear model of a quadrature oscillator was presented, and numerical simulations of the model were conducted, comparing it with a practical prototype. The objective of the model is to deepen the understanding of synchronization phenomena in Kuramoto oscillators and contribute to the study of chaos and synchronization in complex networks. The results obtained show that the detailed analysis of simulations and experiments led to a better understanding of the quadrature oscillator and its behaviors, which can be valuable for applications in complex systems. It is concluded that the proposed model yielded satisfactory results, offering new perspectives for future studies in quadrature oscillators and complex networks.